Physics Motion Simulator
Key Formulas:
Position:
$$x = v_0 \cos(\theta)t$$ $$y = v_0 \sin(\theta)t - \frac{1}{2}gt^2$$
Maximum Height:
$$h_{max} = \frac{v_0^2\sin^2(\theta)}{2g}$$
Range:
$$R = \frac{v_0^2\sin(2\theta)}{g}$$
Time of Flight:
$$T = \frac{2v_0\sin(\theta)}{g}$$
Units:
• Velocity (v): m/s
• Acceleration (g): m/s²
• Position (x,y): m
• Time (t): s
• Angle (θ): °
Position:
$$x = x_0 + v_0t + \frac{1}{2}at^2$$
Velocity:
$$v = v_0 + at$$
Units:
• Initial Position (x₀): m
• Velocity (v): m/s
• Acceleration (a): m/s²
• Time (t): s
Projectile Motion Facts:
Follows a parabolic path due to constant gravitational acceleration (g = 9.8 m/s²)
Horizontal motion is constant (no acceleration)
Vertical motion has constant acceleration due to gravity
Maximum height occurs when vertical velocity becomes zero
Range is maximum at 45° launch angle
Motion is symmetric about the highest point
Linear Motion Facts:
Motion along a straight line
Constant acceleration results in linear velocity change
Position-time graph is parabolic for constant acceleration
Velocity-time graph is linear for constant acceleration
Area under v-t graph gives displacement
Projectile Motion
Initial Angle (θ):
45
°
Higher angle = Higher trajectory
Initial Velocity (v₀):
20
m/s
Higher velocity = Greater range
Coefficient of Restitution:
0.7
1 = Perfect elastic collision
Start Simulation
Maximum Height:
0
m
Range:
0
m
Time of Flight:
0
s