The figure below shows a motorcycle leaving the end of a ramp with a speed of 30.4 m/s and following the curved path shown. At the peak of the path, a maximum height h above the top of the ramp, the motorcycle's speed is 28.3 m/s. What is the maximum height h? Ignore friction and air resistance. (Enter your answer in m.)

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The figure below shows a motorcycle leaving the end of a ramp with a speed of 30.4 m/s and following the curved path shown. At the peak of the path, a maximum height h above the top of the ramp, the motorcycle's speed is 28.3 m/s. What is the maximum height h? Ignore friction and air resistance. (Enter your answer in m.)

**A Rider's Trajectory in Motion**

This diagram illustrates the path taken by a motorcyclist as they launch off a ramp. Several key physics concepts are demonstrated in this image:

1. **Initial Velocity and Direction**: The motorcyclist starts on an upward trajectory, as indicated by the red arrow pointing diagonally upward from the rear wheel. This arrow represents the initial velocity, showcasing the direction and speed at which the rider leaves the ramp.

2. **Parabolic Motion**: Once airborne, the rider follows a parabolic path, as depicted by the dashed curve. This trajectory is characteristic of projectile motion, where the only force acting on the rider (neglecting air resistance) is gravity.

3. **Maximum Height (h)**: The diagram marks the peak of the trajectory with an arrow labeled "h". This represents the highest vertical point achieved by the rider during the jump. At this point, the vertical component of velocity is zero.

4. **Horizontal Motion**: The horizontally pointing red arrow in the air indicates the constant horizontal velocity that the rider maintains throughout the jump. This shows that horizontal motion is unaffected by gravity.

This diagram helps visualize fundamental physics principles, such as the effects of velocity and gravity on motion, crucial for understanding concepts in mechanics.
Transcribed Image Text:**A Rider's Trajectory in Motion** This diagram illustrates the path taken by a motorcyclist as they launch off a ramp. Several key physics concepts are demonstrated in this image: 1. **Initial Velocity and Direction**: The motorcyclist starts on an upward trajectory, as indicated by the red arrow pointing diagonally upward from the rear wheel. This arrow represents the initial velocity, showcasing the direction and speed at which the rider leaves the ramp. 2. **Parabolic Motion**: Once airborne, the rider follows a parabolic path, as depicted by the dashed curve. This trajectory is characteristic of projectile motion, where the only force acting on the rider (neglecting air resistance) is gravity. 3. **Maximum Height (h)**: The diagram marks the peak of the trajectory with an arrow labeled "h". This represents the highest vertical point achieved by the rider during the jump. At this point, the vertical component of velocity is zero. 4. **Horizontal Motion**: The horizontally pointing red arrow in the air indicates the constant horizontal velocity that the rider maintains throughout the jump. This shows that horizontal motion is unaffected by gravity. This diagram helps visualize fundamental physics principles, such as the effects of velocity and gravity on motion, crucial for understanding concepts in mechanics.
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