Simple ballistic calculator

a simple ballistic calculator for unguided missiles. Just connect the physic sensor, the coordinates of the target and the pitch output. ENJOY! 6 Comments < > Tanub Oct 6, 2023 @ 7:26pm Sure, take your time tho. It's your micro controller, y the first guy that posted a rocket launcher ballistic Angel ...

Simple ballistic calculator. Jul 5, 2023 ... In this video we go through the processes of zeroing the PARD DS35, and working out the required information to setup and zero the Ballistic ...

The Nightforce Ballistic Calculator is a specialized tool designed to assist shooters in making precise long-range shots. It calculates critical data points for shooting, including bullet drop (vertical adjustment), windage adjustments, and more. This calculator takes into account several variables to provide accurate information for shooters ...

There really isn't much difference in the actual calculators, per se. They all typically end up around 0.10 to 0.20 of each other. Strelok is really nice, but you need separate weather data. If you want standalone ballistics and weather, one of the Kestrel systems wil be great. For the price, the Hornady 4DOF Kestrel is really nice.A simple exterior ballistics modeling tool based on code written by W. J. Jurens, published in Warship International, No. 1, 1984, "Exterior Ballistics with Microcomputers". The code is designed to emulate the calculations that were done to generate range tables prior to the convergence of exterior ballistics and aerodynamics. This may make the ...This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. By adding trajectories to the panel on the right you may produce charts and graphs that show the different trajectories side by side.The ballistic calculator will provide all the variables of your shot at a provided range. To use the calculator, simply fill in the input values (blank white boxes) in the large black box. By default, we only need four values to give you a good idea of how your shot will behave: target range, bullet weight, muzzle velocity, and ballistic ...The reasons for this are simple. The case body expands on firing, and its diameter is reduced in full-length resizing. The brass displaced must go somewhere—and it does; it is pushed upward to lengthen the case. ... Gain a deep knowledge of ballistic science and access our improved ballistic calculator. New Products. Introducing the latest ...The three functions: f1, f2, and f3 are used to find the specific angle (in degrees) required to hit a target given the velocity, gravity, distance, and relative height. Every combination of distance and height has two valid firing angles, the ballistic and the direct. The first function, f1, represents a ballistic trajectory with long flight ...Output Units. MILS. MOA. Inches. Range Card Properties. Start Range. Stop Range. Step Size. The Berger Bullets Ballistics Calculator uses BCs (G1 or G7) to calculate trajectory and account for any external factors that may effect bullet performance. Winchester’s ballistics calculator does in a split second what no physicist can: it spits out where that bullet will land in 25-yard increments clear out to 500 yards. It also lists wind deflection, terminal velocity, terminal energy and time-of-flight at each 25-yard increment. This matters little if you’re shooting a deer 100 yards away ...

On-Line Airgun Trajectory Calculator. Use this form to calculate the trajectory of your airgun. All fields are required. Trajectory Input. Pellet Input. Weight (grns): Ballistic Coefficient: Diameter (in.): Muzzle Velocity (fps):General Ballistic Trajectory. The motion of an object under the influence of gravity is determined completely by the acceleration of gravity, its launch speed, and launch angle provided air friction is negligible. The horizontal and vertical motions may be separated and described by the general motion equations for constant acceleration.Combined with the physical attributes of the projectiles, the 4DOF™ calculator is simply more accurate for long range hits than using BC based systems or custom drag curves based on limited data collection points. The 4DOF ballistic calculator is used with pre-populated bullet files that include long range match and hunting style … Power Factor. Calculates the power factor and checks divisions for IDPA, IPSC, TSA, USPSA and SASS. Output shows whether or not the division is made (green/red) and by how much in percent. Recoil. Calculates the free recoil energy and velocity using firearm weight, charge weight, bullet weight and firearm velocity. Free Ballistic Calculator. Our free Ballistic Calculator generates thousands of shot simulations using your provided load, muzzle velocity, and real-world environmental …This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. By adding trajectories to the panel on the right you may produce charts and graphs that show the different trajectories side by side.Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet.iStrelok is an easy-to-use ballistic trajectory calculator that allows you to plug in factors such as rifle make and model, cartridge, weather conditions, wind direction and speed, slope angle and scope and reticle information. With 370 different reticles supported, and more being added all the time, chances are good that your reticle will be ...

6. The official Nosler Ballistics App for iPad, iPhone, and Android is now available! Nosler Ballistics is a trajectory calculator and range log. Nosler Ballistics contains data for all Nosler bullets, making it quick and easy to calculate the trajectory of your load. This application calculates trajectory, windage, velocity, energy and bullet ...Ballistics Calculator. The Federal Ballistics Calculator lets you quickly determine the trajectory for any rifle or handgun load, and save data for an unlimited number of loads. Units of Measure. Ammunition Inputs. Load Type. Caliber. Bullet Style. Bullet Weight (grains) Muzzle Velocity (fps) G1 Ballistic Coefficient. Firearm Setup.Conveniently, on the trajectory output, come-ups are listed in both MOA and Mils — so this will work with either MOA clicks or Mil-based clicks. There are more sophisticated ballistics solvers available on the web (such as the outstanding Applied Ballistics Online Calculator), but the Hornady Calculator is very simple and easy to use. If you ...The free app utilizes the Hornady 4DOF™ (4 Degrees of Freedom) Ballistic Calculator, which provides trajectory solutions based on projectile drag coefficient (not ballistic coefficient) along with exact physical modeling of the projectile, its mass and aerodynamic properties. Additionally, 4DOF™ is the first publicly available program that ...

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The H&N Online Ballistics and Pellet Selector is intended to help you find the pellet best suited for you and your needs. It’s at ballistics.hn-sport.de. The H&N Online Ballistics and Pellet Selector is very easy to use. To start, you can choose “Select Pellet” if you want to browse through the H&N pellet portfolio.The Vortex Optics Ballistic Calculator is a sophisticated tool designed to help shooters calculate and predict the trajectory of their bullets accurately. It takes into account several critical variables, including bullet weight, diameter, drag coefficient, velocity, and more, to provide shooters with valuable information about their shots.The Vortex Optics Ballistic Calculator is a sophisticated tool designed to help shooters calculate and predict the trajectory of their bullets accurately. It takes into account several critical variables, including bullet weight, diameter, drag coefficient, velocity, and more, to provide shooters with valuable information about their shots ... Ballistic Calculator. Let us introduce our new amazing feature developed to meet the needs of today's demanding hunters. No more charts, complex reticles, and calculations, because the ATN Smart Shooting Solution does it all. It solves the fundamental problem of complex and slow computation using new technologies. May 7, 2024 · Precise and easy to use ballistic calculator with fast data entry on one page and 5 configurable presets. Calculates the fall and drift of a bullet's wind and clicks in various angles. Use for metric and imperial units. Works with G1 ballistic tables. Altitude detection via GPS. including also six columns with site angle clicks, from 10° to 35 ...

Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. The Hornady 4DOF ® Ballistic Calculator accurately calculates the mass properties, aerodynamic properties and the responses of the projectile as it flies downrange as well …FAQ. This horizontal projectile motion calculator is a tool to solve a particular case of projectile motion, where an object is launched horizontally from an elevated plane. Type in any two values, and the rest will be calculated in a blink of an eye! Furthermore, the trajectory will be displayed below the results.Combined with the physical attributes of the projectiles, the 4DOF™ calculator is simply more accurate for long range hits than using BC based systems or custom drag curves based on limited data collection points. The 4DOF ballistic calculator is used with pre-populated bullet files that include long range match and hunting style bullets.Conveniently, on the trajectory output, come-ups are listed in both MOA and Mils — so this will work with either MOA clicks or Mil-based clicks. There are more sophisticated ballistics solvers available on the web (such as the outstanding Applied Ballistics Online Calculator), but the Hornady Calculator is very simple and easy to use. If you ...The 4DOF ballistic calculator is used with pre-populated bullet files that include long-range hunting style bullets, as well as match bullets, including Hornady’s own ELD-X and ELD Match bullets, as well as other long-range bullets from various companies. ... Brad Fenson whips up a simple but delicious turkey salad, perfect for your ...Free Ballistics trajectory calculator app for iPhone will help you make more Accurate shots. Subscription available for $1.99/month, $9.99/year and provides access to all features. • Your subscription will renew automatically each period. You can turn off auto-renewal by going to your Account Settings after purchase.Our calculator creates a proper ballistics trajectory chart that details range, drop, velocity, energy (fps), wind drift, and time. It takes into effect things like atmospheric conditions, …This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. By adding …Our calculator creates a proper ballistics trajectory chart that details range, drop, velocity, energy (fps), wind drift, and time. It takes into effect things like atmospheric conditions, wind, and even allows you to make projections shooting both up and down hill.

Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet.

Created by passionate shooters, Ballistic-X’s simple and intuitive interface lets you effortlessly calculate shot groups and zero your rifle. With a range of customizable options and a seamless sign-in process, Ballistic-X makes precision shooting easier than ever. Download on. the App Store. Download on. Winchester Ballistics Calculator. Compare ballistics data on your favorite Winchester Ammunition rounds. Input your hunting conditions to see the drop, drift, bullet trajectory, velocity, and energy in easy-to-read ballistics charts and graphs. The G7 Long Range Ballistics Calculator is a FREE online ballistic calculator that will help you understand your external ballistics. It allows you to customize the shooting …6. The official Nosler Ballistics App for iPad, iPhone, and Android is now available! Nosler Ballistics is a trajectory calculator and range log. Nosler Ballistics contains data for all Nosler bullets, making it quick and easy to calculate the trajectory of your load. This application calculates trajectory, windage, velocity, energy and bullet ...Strelok Pro is clearly an extremely full-featured app and ballistic solver. Ballistic AE is another very popular shooting app, and 10% of these guys running phone apps were using it. It is a very polished and user-friendly app, and claims to be “The #1 Ballistic Calculator” for iOS devices.Winchester’s ballistics calculator does in a split second what no physicist can: it spits out where that bullet will land in 25-yard increments clear out to 500 yards. It also lists wind deflection, terminal velocity, terminal energy and time-of-flight at each 25-yard increment. This matters little if you’re shooting a deer 100 yards away ...Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet.The free app utilizes the Hornady 4DOF™ (4 Degrees of Freedom) Ballistic Calculator, which provides trajectory solutions based on projectile drag coefficient (not ballistic coefficient) along with exact physical modeling of the projectile, its mass and aerodynamic properties. Additionally, 4DOF™ is the first publicly available program that ...The G7 Long Range Ballistics Calculator is a FREE online ballistic calculator that will help you understand your external ballistics. It allows you to customize the shooting …

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The three functions: f1, f2, and f3 are used to find the specific angle (in degrees) required to hit a target given the velocity, gravity, distance, and relative height. Every combination of distance and height has two valid firing angles, the ballistic and the direct. The first function, f1, represents a ballistic trajectory with long flight ... Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. 4) Bushnell Elite Rangefinder 1 Mile 7×26 with CONX. 5) ATN Laser Ballistics 1000 Hunting Rangefinder. 6) Sig Sauer KILO1000BDX 5x20mm Digital Ballistic Laser Rangefinder. 7) Leupold RX-FullDraw 5 Rangefinder. 8) Bushnell Nitro 1800 Laser Rangefinder. How to Choose the Best Rangefinders with Ballistic Calculator. Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. HANDGUN BALLISTICS. RIFLE BALLISTICS. EDUCATION 101. COOL STUFF : 25 ACP 32 ACP 327 Magnum 380 ACP 9mm Luger 357 Magnum 357 SIG 38 Special 38 Super 40 S&W 10mm Auto. 41 Magnum 44 Magnum 44 Special 45 ACP 45 GAP 45 Colt 454 Casull 460 Magnum 480 Ruger 50 AE 500 Magnum: 223 Remington 243 Winchester 270 Winchester 300 Winchester Magnum 300 AAC ...Scope Measure. MOA. MIL. Scope Height (in) Center of bore to center of scope. Zero Range (yards) Must be in increments of 50. IE: 100, 150, 200, 250, 300. Max Range (yards)NORMA Ballistics™ effectively visualizes shot trajectories up to 2000m (2200 yards) covering the majority of needs in long range shooting. Given standard shooting parameters such as bullet weight, BC, velocity, shot angle and weather conditions, the program will present a visual graph of the bullet flight path showing drop, velocity and energy along the way. Quite simply, "Degree or Degrees Of Freedom” is a physics term for actions or responses of an object that are independent of each other.Up to this point, all publicly offered small arms trajectory programs have treated a projectile as an inanimate lump with only three degrees of freedom used to calculate trajectory (windage, elevation, and range); the projectile’s movement in relation to ... ….

Use the calculator below to calculate the kinetic energy of a bullet. In order to determine the kinetic energy, you must know the velocity of the bullet and the weight of the bullet in grains. You may add items to the list on the right in order to create a bar graph comparing the different items. This is useful for comparing handloads, muzzle ...How to calculate the ballistic coefficient using the Ballistic Coefficient Calculator? To determine the ballistic coefficient, follow these simple steps: Step 1: Input the projectile’s mass, denoted as ‘m.’ Step 2: Provide the cross-sectional area, referred to as ‘A.’ Step 3: Enter the drag coefficient, ‘C.’ Step 4: The calculator ...qBal Ballistics Simulator is a full feature external ballistics calculator software for shooter enthusiasts and hunters. qBal offers high precision ballistics calculation, with an interface that was designed from the beginning to be simple to use. Unlike some other computer ballistic shooting programs, qBal is focused on simplicity.Precise and easy to use ballistic calculator with fast data entry on one page and 5 configurable presets. Calculates the fall and drift of a bullet's wind and clicks in various angles. Use for metric and imperial units. Works with G1 ballistic tables. Altitude detection via GPS. including also six columns with site angle clicks, from 10° to 35 ...Combined with the physical attributes of the projectiles, the 4DOF™ calculator is simply more accurate for long range hits than using BC based systems or custom drag curves based on limited data collection points. The 4DOF ballistic calculator is used with pre-populated bullet files that include long range match and hunting style …The Ballistic Trajectory Calculator @ shooterscalculator.com is a free, online tool to help shooters calculate the flight path of a bullet given the shooting parameters that meet their conditions. The calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the …Dec 30, 2023 · This ballistics trajectory calculator app will help you always hit the target. Features: - Ammunition: 3000 cartridges in the database. - 3000 reticles in the database. - Graphic display of the trajectory. - A visual comparison of the trajectories of different cartridges. - Visualization of reticles, distance corrections (rifle scope calculator) Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Explore how the initial conditions of a ball affect its trajectory. You can adjust initial velocity (vertical and horizontal), and acceleration due to gravity. ... Simple ballistic calculator, Winchester Ballistics Calculator. Compare ballistics data on your favorite Winchester Ammunition rounds. Input your hunting conditions to see the drop, drift, bullet trajectory, velocity, and energy in easy-to-read ballistics charts and graphs., Before accumulating unsustainable debt, it’s important to use a Mortgage Calculator like the one below to help you determine your monthly mortgage payment and the time it would tak..., Calculator view8 Rifle/Cartridge settings 9 10 Select Bullet/Cartridge 11 Input Sight-In data 12 Main Menu13 Set Units/Settings14 Calculator15 Weather16 Lapua Ballistics is the first mobile ballistics app utilizing the 6DOF calculation model, which makes it the most accurate ballistics app on the market., This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. By adding trajectories to the panel on the right you may produce charts and graphs that show the different trajectories side by side., As shown in the picture, the actual projectile is much smaller than the cartridge that contains it. Bullet mass is typically measured using grains (gr). One pound equals 7000 grains. Depending on the bullet, its mass can be anywhere from 15 gr (0.002143 lbs or 0.972 g) to over 600 gr (0.0857 lbs or 38.879 g)., Kevin walks through the Kestrel Ballistic calculator. This technology has been the most significant innovation in long-range shooting in the last 20 years. W..., Dec 30, 2023 · This ballistics trajectory calculator app will help you always hit the target. Features: - Ammunition: 3000 cartridges in the database. - 3000 reticles in the database. - Graphic display of the trajectory. - A visual comparison of the trajectories of different cartridges. - Visualization of reticles, distance corrections (rifle scope calculator) , The G7 Long Range Ballistics Calculator is a FREE online ballistic calculator that will help you understand your external ballistics. It allows you to customize the shooting …, It’s also much more than a basic trajectory calculator. With a vast library of over 5,000 projectiles and factory loads, and advanced features - Mil-Dot and MOA rangefinder with head-up display capabilities, GPS and atmosphere awareness, full size charts, reloading companion, precision target log, and option HUD for mounted firing - Ballistic ..., On-Line Airgun Trajectory Calculator. Use this form to calculate the trajectory of your airgun. All fields are required. Trajectory Input. Pellet Input. Weight (grns): Ballistic Coefficient: Diameter (in.): Muzzle Velocity (fps):, When entering a drag model into your ballistic computer, always be sure to match the ballistic coefficient with the drag model. For example, the Hornady 6.5mm 140-grain ELD Match bullet has a ballistic coefficient of .646 using the G1 drag model. The G7 model uses a ballistic coefficient of .351 for the same bullet., Created by passionate shooters, Ballistic-X’s simple and intuitive interface lets you effortlessly calculate shot groups and zero your rifle. With a range of customizable options and a seamless sign-in process, Ballistic-X makes precision shooting easier than ever. Download on. the App Store. Download on., The H&N Online Ballistics and Pellet Selector is intended to help you find the pellet best suited for you and your needs. It’s at ballistics.hn-sport.de. The H&N Online Ballistics and Pellet Selector is very easy to use. To start, you can choose “Select Pellet” if you want to browse through the H&N pellet portfolio., Online ballistic calculators to help shooters calculate bullet trajectory, bullet kinetic energy, maximum point blank range, and recoil. Explains how to make these calculations and produces charts and graphs that compare various firearm cartridges and firearms., It is a Windows XP based program and HAS NOT been tested on previous versions of Windows. It is a simple interface and display (see image below). You will need to know the ballistics coeffiecent of your pellet. There is a calculator with the program that will calculate the BC given to velocity readings at a fixed distance., Screenshots. #1st ballistics App for Apple Watch. External Ballistic Calculator is aimed towards recreational long range shooters. Works with large caliber and airguns. It helps shooters calculate hold overs, and scope settings necessary for long range shots. Available for iPhone, iPad and Apple Watch. Features: - Accurate calculating targeting., Hit Probability Calculator. The Bison Ballistics hit probability calculator is a tool to visualize the impact of uncertainty on your rifle's ability to hit your target. The calculator simulates a series of "shots" with varying parameters to get an idea of how random variations in velocity, BC, wind, and rifle accuracy impact hit probability., This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. By adding trajectories to the panel on the right you may produce charts and graphs that show the different trajectories side by side., To make a ballistic calculator work accurately, you start by building what is commonly called a profile. The profile is the constant of the equation; it stays the same and consists of inputs such as scopeheight, muzzle velocity (MV), and the bullet’s ballistic coefficient (BC). The variable parts of the equation are the environmental ..., Calculator view8 Rifle/Cartridge settings 9 10 Select Bullet/Cartridge 11 Input Sight-In data 12 Main Menu13 Set Units/Settings14 Calculator15 Weather16 Lapua Ballistics is the first mobile ballistics app utilizing the 6DOF calculation model, which makes it the most accurate ballistics app on the market., Copy the file "eject_1-4.zip" to the hard drive of your Windows-based computer 2. Unzip the files in "eject_1-4.zip" 3. Double-click on the file "setup.exe". This will install the software on your computer. 4. Once it is installed, go to the "start" button, the to "programs." You will see the program in your program list. , The H&N Online Ballistics and Pellet Selector is intended to help you find the pellet best suited for you and your needs. It’s at ballistics.hn-sport.de. The H&N Online Ballistics and Pellet Selector is very easy to use. To start, you can choose “Select Pellet” if you want to browse through the H&N pellet portfolio., Strelok Ballistic Calculator. Having been a fan of Knights Armament Bullet Flight, I realize the value a good ballistic calculator adds to your shooting; it’s an essential tool once you start reloading and need to develop a dope chart. I used KAC’s calculator to estimate my dope for my first NRA High-Power match with nothing but a 100 yard ..., This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet. By adding trajectories to the panel on the right you may produce charts and graphs that show the different trajectories side by side., The 4DOF ballistic calculator is used with pre-populated bullet files that include long-range hunting style bullets, as well as match bullets, including Hornady’s own ELD-X and ELD Match bullets, as well as other long-range bullets from various companies. ... Brad Fenson whips up a simple but delicious turkey salad, perfect for your ..., Learning Your Dead-Hold BDC Reticle Video © Vortex Optics Vortex Optics, The comparison tool is a simplified calculator to get a basic idea as to how two bullets will perform. The calculator makes the following assumptions: Zero Range. The zero range isn't relevant to this calculation - it reports total drop, which is adequate for comparison purposes. Wind Speed., Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet., The Bison Ballistics calculator is a modern ballistics calculator for sportsmen. To use it, just pick a bullet from our library, fill in the appropriate information …, 6. The official Nosler Ballistics App for iPad, iPhone, and Android is now available! Nosler Ballistics is a trajectory calculator and range log. Nosler Ballistics contains data for all Nosler bullets, making it quick and easy to calculate the trajectory of your load. This application calculates trajectory, windage, velocity, energy and bullet ..., Jul 5, 2023 ... In this video we go through the processes of zeroing the PARD DS35, and working out the required information to setup and zero the Ballistic ..., Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. It will a produce a line graph showing the bullet drop and flight path of the bullet., Using the altitude equation: y = 0. Vo t = .5 g t^2. t = 2 Vo / g. The total flight time varies linearly with the launch velocity. The total flight time is twice the time to reach maximum altitude. So a ballistic shell takes as long coming down as it does going up. If we substitute this time into the velocity equation: