Consider the following descriptions of the vertical motion of an object subject only to the acceleration due

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Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(t) = g, where g = -9.8 m/s2.

a. Find the velocity of the object for all relevant times.

b. Find the position of the object for all relevant times.

c. Find the time when the object reaches its highest point. What is the height?

d. Find the time when the object strikes the ground.

A payload is released at an elevation of 400 m from a hot-air balloon that is rising at a rate of 10 m/s.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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