The figure below shows a motorcycle leaving the end of a ramp with a speed of 32.7 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 31.1 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 32.7 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 31.1 m/s. What is the maximum height h? Ignore friction and air resistance. (Enter your answer in m.)

### Understanding Projectile Motion: Motorbike Off a Ramp

This diagram illustrates the concept of projectile motion using the example of a motorbike taking off from a ramp.

- **Motorbike and Rider**: A motorbike with a rider is shown ascending a curved ramp. The motorcycle and rider are depicted in motion, indicating an upward and forward trajectory.

- **Ramp**: The ramp provides the initial path for the rider to increase elevation and velocity. It is angled upwards to facilitate the jump.

- **Initial Velocity**: Represented by a red arrow pointing along the ramp. This shows the direction and speed in which the motorbike is traveling as it leaves the ramp.

- **Trajectory Path**: A dashed line indicates the path of the motorbike as it follows a parabolic trajectory after leaving the ramp. This demonstrates the influence of gravity on its motion, causing it to rise and then fall back to the ground.

- **Maximum Height (h)**: The vertical distance from the takeoff point to the peak of the trajectory is labeled as "h." This is the maximum height achieved by the motorbike during its jump.

- **Horizontal Distance**: Although not labeled, the distance the motorbike travels from the start of the ramp to its landing point on the ground represents the horizontal range of the projectile.

This illustration helps students understand the principles of projectile motion, which involves both horizontal and vertical components of motion influenced by initial velocity and gravity.
Transcribed Image Text:### Understanding Projectile Motion: Motorbike Off a Ramp This diagram illustrates the concept of projectile motion using the example of a motorbike taking off from a ramp. - **Motorbike and Rider**: A motorbike with a rider is shown ascending a curved ramp. The motorcycle and rider are depicted in motion, indicating an upward and forward trajectory. - **Ramp**: The ramp provides the initial path for the rider to increase elevation and velocity. It is angled upwards to facilitate the jump. - **Initial Velocity**: Represented by a red arrow pointing along the ramp. This shows the direction and speed in which the motorbike is traveling as it leaves the ramp. - **Trajectory Path**: A dashed line indicates the path of the motorbike as it follows a parabolic trajectory after leaving the ramp. This demonstrates the influence of gravity on its motion, causing it to rise and then fall back to the ground. - **Maximum Height (h)**: The vertical distance from the takeoff point to the peak of the trajectory is labeled as "h." This is the maximum height achieved by the motorbike during its jump. - **Horizontal Distance**: Although not labeled, the distance the motorbike travels from the start of the ramp to its landing point on the ground represents the horizontal range of the projectile. This illustration helps students understand the principles of projectile motion, which involves both horizontal and vertical components of motion influenced by initial velocity and gravity.
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