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.
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 regulation volleyball court measures L = 18.0 meters in length and d = 2.43 meters in height. A volleyball player hits the ball from a height of h = 1.50 m just over the backline, and the initial velocity of the ball creates an angle of q = 30° with the ground. At what initial speed must the ball be struck such that it barely clears the net?
A stone is thrown with an initial speed of 20 m/s at an angle of 35° above the
horizontal from the top of a 53 m building. What is the speed of the rock as it strikes
the ground (ignore air resistance).
You are hiking in the rocky canyon lands of Utah and eventually realize you are
lost. You climb up to stand on one of the tall rocks and shoot a flaming arrow into the air to
signal your distress. You shoot the arrow with an initial speed of 30.0 m/s at an angle of
60.0° above the horizontal. The arrow hits the ground 7.50 seconds later. (Neglect air
resistance.)
(a) What maximum height does the arrow reach above its launch point?
(b) Relative to the launch point, where does the projectile land? Give your answer in
Cartesian (x,y) coordinates as well as polar (r,0) coordinates.
Chapter 3 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
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