Projectile Motion

Simulation Information

This simulation consists of a projectile that can be launched.

You can control the simulation using these variables:

• Height: The initial height of the projectile
• Velocity: The initial velocity of the projectile
• Angle: The angle to launch the projectile at
• Gravity: The acceleration due to gravity

The simulation also contains these output measurements:

• Time: The time that has passed
• Position: The current position of the projectile
• Velocity: The current velocity of the projectile

Controls:

• Use the start and stop buttons to start and stop the simulation
• Use the step button to advance the simulation by 0.01 seconds
• Use the reset button to restore the simulation to its initial state
• Click and drag the simulation to pan
• Use the zoom in and zoom out buttons or the mouse wheel to zoom in and out
• Use the reset zoom button to undo all zooming and panning

Equations:

• \( x = { t \cdot v_0 \cdot cos{ \theta } } \)
  • \(x\) is the horizontal position of the projectile
  • \(t\) is the time that has passed
  • \(v_0\) is the initial velocity of the projectile
  • \(\theta\) is the angle that the projectile was launched at
• \( y = { y_0 + t \cdot v_0 \cdot sin{ \theta } - {1 \over 2} \cdot g \cdot t^2 } \)
  • \(y\) is the vertical position of the projectile
  • \(y_0\) is the initial height of the projectile
  • \(t\) is the time that has passed
  • \(v_0\) is the initial velocity of the projectile
  • \(\theta\) is the angle that the projectile was launched at
  • \(g\) is the acceleration due to gravity
• \( v_x = { v_0 \cdot cos{ \theta } } \)
  • \(v_x\) is the horizontal velocity of the projectile
  • \(v_0\) is the initial velocity of the projectile
  • \(\theta\) is the angle that the projectile was launched at
• \( v_y = { v_0 \cdot sin{ \theta } - g \cdot t } \)
  • \(v_y\) is the vertical velocity of the projectile
  • \(v_0\) is the initial velocity of the projectile
  • \(\theta\) is the angle that the projectile was launched at
  • \(g\) is the acceleration due to gravity
  • \(t\) is the time that has passed