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. (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, and how far does she run before she catches the ball? (b) Carefully sketch the ball’s trajectory as viewed by (i) a person at rest on the ground and (ii) the runner.

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. (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, and how far does she run before she catches the ball? (b) Carefully sketch the ball’s trajectory as viewed by (i) a person at rest on the ground and (ii) the runner.

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Question

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. (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, and how far does she run before she catches
the ball? (b) Carefully sketch the ball’s trajectory as viewed by (i) a
person at rest on the ground and (ii) the runner.

Expert Solution