A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height of 525 m, its engines suddenly fail; the only force acting on it is now gravity. (a) What is the maximum height this rocket will reach above the launch pad? (b) How much time will elapse after engine failure before the rocket comes crashing down to the launch pad, and how fast will it be moving just before it crashes? (c) Sketch ay-t, vy-t, and y-t graphs of the rocket's motion from the instant of blast-off to the instant just before it strikes the launch pad.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
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A 7500-kg rocket blasts off vertically from the launch pad with a constant upward
acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height
of 525 m, its engines suddenly fail; the only force acting on it is now gravity. (a) What is the
maximum height this rocket will reach above the launch pad? (b) How much time will elapse
after engine failure before the rocket comes crashing down to the launch pad, and how fast
will it be moving just before it crashes? (c) Sketch ay-t, vy-t, and y-t graphs of the rocket's
motion from the instant of blast-off to the instant just before it strikes the launch pad.
Transcribed Image Text:A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height of 525 m, its engines suddenly fail; the only force acting on it is now gravity. (a) What is the maximum height this rocket will reach above the launch pad? (b) How much time will elapse after engine failure before the rocket comes crashing down to the launch pad, and how fast will it be moving just before it crashes? (c) Sketch ay-t, vy-t, and y-t graphs of the rocket's motion from the instant of blast-off to the instant just before it strikes the launch pad.
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