Julie throws a ball to her friend Sarah. The ball leaves Julie’s hand a distance 1.0 m above the ground with an initial speed of 10 m/s at an angle 30◦ with respect to the horizontal. Sarah catches the ball 1.0 m above the ground What is the horizontal component of the ball’s velocity right before Sarah catches it? What is the vertical component of the ball’s velocity right before Sarah catches it? What is the time the ball is in the air? What is the distance between the two girls? What is the maximum height the ball reaches? After catching the ball, Sarah throws it back to Julie. However, Sarah throws it too hard so it is over Julie’s head when it reaches Julie’s horizontal position. Assume the ball leaves Sarah’s hand a distance 1.0 m above the ground, reaches a maximum height of 6 m above the ground, and takes 1.115 sec to get directly over Julie’s head. What is the speed of the ball and the angle with the horizontal when it leaves Sarah’s hand? How high above the ground is the ball when it is above Julie’s head?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 19P: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed...
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Julie throws a ball to her friend Sarah. The ball leaves Julie’s hand a distance 1.0 m above the ground with an initial speed of 10 m/s at an angle 30◦ with respect to  the horizontal. Sarah catches the ball 1.0 m above the ground

  1. What is the horizontal component of the ball’s velocity right before Sarah catches it? 

  2. What is the vertical component of the ball’s velocity right before Sarah catches it? 

  3. What is the time the ball is in the air? 

  4.  What is the distance between the two girls? What is the maximum height the ball reaches? 

  5. After catching the ball, Sarah throws it back to Julie. However, Sarah throws it too hard so it is over Julie’s head when it reaches Julie’s horizontal position. Assume the ball leaves Sarah’s hand a distance 1.0 m above the ground, reaches a maximum height of 6 m above the ground, and takes 1.115 sec to get directly over Julie’s head. What is the speed of the ball and the angle with the horizontal when it leaves Sarah’s hand? 

  6.  How high above the ground is the ball when it is above Julie’s head?

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