m4dire0701 on Nostr: When jumping from a trampoline on a moving trailer into a pool: Key Factors 1. ...

When jumping from a trampoline on a moving trailer into a pool:

Key Factors

1. Horizontal velocity: The person shares the trailer's velocity.
2. Vertical velocity: Upward velocity from the trampoline jump.
3. Air resistance: Affects horizontal motion.
4. Trailer's acceleration/deceleration: Impacts landing position.
5. Trampoline's vertical velocity: Adds to the jump.

Trajectory

1. The person's horizontal velocity remains relatively constant.
2. Vertical velocity decreases due to gravity.
3. The person follows a curved trajectory.

Landing

1. Pool position: Depends on trailer speed, trampoline height and jump velocity.
2. Horizontal displacement: Person lands ahead of the trampoline due to trailer's forward motion.
3. Vertical displacement: Person enters the pool at an angle.

Real-World Considerations

1. Air resistance slows horizontal motion.
2. Trailer's acceleration/deceleration alters landing position.
3. Pool size and shape affect landing safety.
4. Jump timing and technique influence trajectory.

Physics Equations

1. Horizontal motion: x = v₀t
2. Vertical motion: y = v₀t - (1/2)gt²
3. Trajectory: y = tan(θ)x - (g/2v₀²cos²(θ))x²

Safety

1. Ensure proper trampoline safety measures.
2. Calculate jump velocity and trajectory.
3. Consider trailer speed and acceleration.
4. Designate a safe landing zone.