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A2.7 kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball.

A2.7 kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball.

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A) At what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground?
Express your answer in degrees.
 
B) 
How far does the woman run before she catches the ball?
Express your answer with the appropriate units.
**Problem Statement:** A 2.7 kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball. --- **Discussion:** This problem involves the concepts of projectile motion and constant velocity in physics. 1. **Ball's Motion:** - **Initial Conditions:** - Mass of the ball: 2.7 kg - Initial speed: 20.0 m/s - Height of the cliff: 45.0 m - **Forces Acting:** - Gravity acts downward. - **Assumptions:** - Air resistance is ignored. 2. **Woman's Motion:** - **Initial Conditions:** - Speed: 6.00 m/s - **Assumptions:** - Constant speed, no acceleration. - **Path:** - Straight line on level ground. This setup can be used to analyze the motion of both the ball and the woman over time, and calculate variables like time of flight, maximum height of the ball, and the horizontal distance covered by the woman.
Transcribed Image Text:**Problem Statement:** A 2.7 kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground. Ignore air resistance on the ball. --- **Discussion:** This problem involves the concepts of projectile motion and constant velocity in physics. 1. **Ball's Motion:** - **Initial Conditions:** - Mass of the ball: 2.7 kg - Initial speed: 20.0 m/s - Height of the cliff: 45.0 m - **Forces Acting:** - Gravity acts downward. - **Assumptions:** - Air resistance is ignored. 2. **Woman's Motion:** - **Initial Conditions:** - Speed: 6.00 m/s - **Assumptions:** - Constant speed, no acceleration. - **Path:** - Straight line on level ground. This setup can be used to analyze the motion of both the ball and the woman over time, and calculate variables like time of flight, maximum height of the ball, and the horizontal distance covered by the woman.
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