♥ Support

Upload a stroboscopic image or a single video frame showing a projectile at multiple positions. Click each position to digitise it, then follow the step-by-step worked solution below.

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How to use this tool

This tool analyses projectile motion from an image - a stroboscopic photo (multiple positions visible at once) or a composite frame. The worked solution panel on the right fills in as you digitise, showing every equation with your actual values substituted in.

  • Step 1 - Upload your image and set the calibration scale
  • Step 2 - Click each position of the projectile from left to right (or in flight order)
  • Step 3 - Set the time interval between positions (stroboscope frequency, or frame interval)
  • Step 4 - The worked solution computes automatically, showing each equation with values
1
Load Image & Calibrate
Upload a stroboscopic image or any image showing the projectile's path.
2
Digitise Projectile Positions
Click each position of the projectile in flight order (earliest position first). Minimum 3 points needed; more gives better results.
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Load an image above to begin

Click each projectile position in flight order
3
Time Interval Settings
Set how much time passes between each digitised position.
At 25 Hz, time between positions = 1/25 = 0.04 s
m/s²  (9.81 standard; 9.80 at equator; 9.83 at poles)
Status
Load an image and digitise at least 3 positions to begin.

References & further reading

Projectile motion: Hay, J.G. (1993). The Biomechanics of Sports Techniques (4th ed.). Prentice Hall. — Chapter on linear kinematics covers projectile motion in sports contexts.

Air resistance: Mehta, R.D. (1985). Aerodynamics of sports balls. Annual Review of Fluid Mechanics, 17, 151-189. doi:10.1146/annurev.fl.17.010185.001055

Kinematics: Winter, D.A. (2009). Biomechanics and Motor Control of Human Movement (4th ed.). Wiley. — Chapter 2: Kinematics.

Assumptions: This tool assumes uniform gravitational acceleration, no air resistance, and a flat Earth surface over the trajectory. These are valid for most sports biomechanics applications at short range.

Worked Solution

Updates as you digitise. Each equation shows the formula, your values substituted in, and the result.

Waiting for data
Digitise at least 3 positions on the image, then click Analyse.