Find range, height, speed, and flight time quickly. Export clean reports. Learn projectile motion steps with practical examples and confidence.
Projectile motion separates horizontal and vertical movement.
Horizontal velocity: Vx = V × cos(θ)
Vertical velocity: Vy = V × sin(θ)
Time of flight: t = (Vy + √(Vy² + 2gh)) / g
Maximum height: Hmax = h + Vy² / (2g)
Horizontal range: R = Vx × t
Impact velocity: Vf = √(Vx² + Vyf²)
Here, V is launch speed, θ is launch angle, g is gravity, and h is initial height.
| Initial Velocity | Angle | Gravity | Height | Approximate Use Case |
|---|---|---|---|---|
| 20 m/s | 30° | 9.81 m/s² | 0 m | Basic ground launch |
| 35 m/s | 45° | 9.81 m/s² | 1.5 m | Maximum range study |
| 50 m/s | 60° | 9.81 m/s² | 5 m | High arc launch |
| 28 m/s | 15° | 9.81 m/s² | 2 m | Low angle motion |
This calculator solves angled projectile motion quickly. It handles launch speed, launch angle, gravity, and starting height. Many simple tools ignore initial height. This one includes it. That makes the output more useful for study and design work.
The result shows horizontal velocity and vertical velocity first. It then gives time to peak, total flight time, peak position, maximum height, and horizontal range. It also estimates impact speed and impact angle. These values help you inspect the full path instead of one number.
Students can use this page to verify homework steps. Teachers can use it for class examples. Engineers and analysts can test quick launch scenarios. The example table gives starting values for practice. The recent records section keeps short calculation history inside the session.
Projectile motion is split into two directions. Horizontal motion keeps a constant speed when air resistance is ignored. Vertical motion changes because gravity acts downward. The calculator uses trigonometric functions to split the launch speed into horizontal and vertical components. It then applies standard motion equations.
The CSV option saves stored results for spreadsheet work. The PDF button opens a print view. From there, the browser can save the report as a PDF file. This approach keeps the page light and avoids heavy libraries. It also matches simple hosting environments.
Use a realistic gravity value for the location or problem. Keep the launch angle below ninety degrees. Use zero height for ground launches. Use positive height for elevated launches. Choose enough decimal places for your task, but avoid unnecessary precision when reporting final answers.
It computes horizontal velocity, vertical velocity, time to peak, total flight time, maximum height, range, impact speed, and impact angle from angled projectile inputs.
Yes. You can enter a starting height above ground. That affects the total flight time, maximum height, and horizontal range.
No. It uses the standard ideal projectile model. Horizontal speed stays constant, and vertical motion changes only because of gravity.
The page is built for forward projectile motion. An angle of ninety degrees creates vertical launch behavior, which needs a different interpretation for range.
Use 9.81 m/s² for most Earth problems. You can enter another gravity value for custom examples or other environments.
Yes. You can download a CSV file of stored calculations. You can also use the PDF button to open a print dialog and save the report.
Yes. It is useful for homework checks, lab preparation, and learning how launch speed, angle, and height change the projectile path.
The calculated result appears above the form and below the header. This keeps the answer visible immediately after submission.