A soccer player stands atop a hill shaped like a perfect hemisphere with radius R = 8.00 m. The player kicks a ball, initially at rest at the top of the hill, such that the ball's velocity v; is horizontal, as shown in the figure below. -R→→x→ (a) Find the minimum initial speed of the ball (in m/s) if it is never to hit the hill after being kicked. m/s (b) Using this initial speed, find the distance x (in m) from the base of the hill where the ball hits the ground. m

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Chapter1: Units, Trigonometry. And Vectors
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A soccer player stands atop a hill shaped like a perfect hemisphere with radius R = 8.00 m. The player kicks a ball, initially
at rest at the top of the hill, such that the ball's velocity V is horizontal, as shown in the figure below.
-Rx
(a) Find the minimum initial speed of the ball (in m/s) if it is never to hit the hill after being kicked.
m/s
(b) Using this initial speed, find the distance x (in m) from the base of the hill where the ball hits the ground.
m
Transcribed Image Text:A soccer player stands atop a hill shaped like a perfect hemisphere with radius R = 8.00 m. The player kicks a ball, initially at rest at the top of the hill, such that the ball's velocity V is horizontal, as shown in the figure below. -Rx (a) Find the minimum initial speed of the ball (in m/s) if it is never to hit the hill after being kicked. m/s (b) Using this initial speed, find the distance x (in m) from the base of the hill where the ball hits the ground. m
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