A person is riding on a flatcar traveling at a constant speed of 200 km/s (Fig.). He wishes to throw a ball through a stationary hoop 90 km above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 250 m/s with respect to himself. (a) How many times required after he releases the ball will it pass through the hoop? (b) What must the vertical component of the initial velocity of the ball? (c) At what horizontal distance in front of the hoop must he release the ball? (d) When the ball leaves the man's hands, what is the direction of its velocity relative to the frame of reference of the flatcar? Relative to the frame of reference of an observer standing on the ground? 90 Km v = 200 km/s

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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A person is riding on a flatcar traveling at a constant speed of 200 km/s (Fig.). He wishes to throw
a ball through a stationary hoop 90 km above the height of his hands in such a manner that the ball
will move horizontally as it passes through the hoop. He throws the ball with a speed of 250 m/s
with respect to himself.
(a) How many times required after he releases the ball will it pass through the hoop?
(b) What must the vertical component of the initial velocity of the ball?
(c) At what horizontal distance in front of the hoop must he release the ball?
(d) When the ball leaves the man's hands, what is the direction of its velocity relative to the
frame of reference of the flatcar? Relative to the frame of reference of an observer standing
on the ground?
90 Km
» = 200 km/s
Transcribed Image Text:A person is riding on a flatcar traveling at a constant speed of 200 km/s (Fig.). He wishes to throw a ball through a stationary hoop 90 km above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 250 m/s with respect to himself. (a) How many times required after he releases the ball will it pass through the hoop? (b) What must the vertical component of the initial velocity of the ball? (c) At what horizontal distance in front of the hoop must he release the ball? (d) When the ball leaves the man's hands, what is the direction of its velocity relative to the frame of reference of the flatcar? Relative to the frame of reference of an observer standing on the ground? 90 Km » = 200 km/s
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