Pablo's basketball rolls from the top of the roof to the edge without slipping and then falls to the ground. Find where it hits the ground. Basketball diameter is 24.2cm and the mass is 0.624kg

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Pablo's basketball rolls from the top of the roof to the edge without slipping and then falls to the ground. Find where it hits the ground. Basketball diameter is 24.2cm and the mass is 0.624kg. Assume the basketball will start at rest. Other values come from the figure below. State your assumptions. 

The image illustrates a ball rolling down a sloped roof. Here's a description of the diagram:

- The roof is depicted as a triangle sitting on top of a rectangle.
- The height of the triangle is labeled as \( h = 2.75 \, \text{m} \).
- The height of the rectangle below the triangle is labeled as \( h = 3.25 \, \text{m} \).
- The angle of the sloped sides of the triangle is \( 32^\circ \).
- At the top corner of the triangle, there is a blue dot representing the initial position of the ball.
- A dashed line traces the path of the ball as it rolls off the roof, showing a parabolic trajectory.
- The horizontal distance from the right edge of the roof to where the ball lands is labeled \( \Delta x \).

This diagram can be used to demonstrate concepts such as projectile motion and the effects of angles and heights on the trajectory of an object.
Transcribed Image Text:The image illustrates a ball rolling down a sloped roof. Here's a description of the diagram: - The roof is depicted as a triangle sitting on top of a rectangle. - The height of the triangle is labeled as \( h = 2.75 \, \text{m} \). - The height of the rectangle below the triangle is labeled as \( h = 3.25 \, \text{m} \). - The angle of the sloped sides of the triangle is \( 32^\circ \). - At the top corner of the triangle, there is a blue dot representing the initial position of the ball. - A dashed line traces the path of the ball as it rolls off the roof, showing a parabolic trajectory. - The horizontal distance from the right edge of the roof to where the ball lands is labeled \( \Delta x \). This diagram can be used to demonstrate concepts such as projectile motion and the effects of angles and heights on the trajectory of an object.
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