71. Vertical Motion On Earth, if you shoot a paper clip 64 ft straight up into the air with a rubber band, the paper clip will be s(1) = 641 – 1612 feet above your hand at t sec after firing. (a) Find ds/dt and d²s/dr?. (b) How long does it take the paper clip to reach its maximum height? : (c) With what velocity does it leave your hand? (d) On the moon, the same force will send the paper clip to a height of s(t) = 641 – 2.61? ft in t sec. About how long will it take the paper clip to reach its maximum height, and how high will it go? 764

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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71. Vertical Motion On Earth, if you shoot a paper clip 64 ft
straight up into the air with a rubber band, the paper clip will be
s(1) = 641 – 1612 feet above your hand at t sec after firing.
(a) Find ds/dt and d²s/dr?.
(b) How long does it take the paper clip to reach its maximum
height? :
(c) With what velocity does it leave your hand?
(d) On the moon, the same force will send the paper clip to a
height of s(t) = 641 – 2.61? ft in t sec. About how long will it
take the paper clip to reach its maximum height, and how high
will it go?
764
Transcribed Image Text:71. Vertical Motion On Earth, if you shoot a paper clip 64 ft straight up into the air with a rubber band, the paper clip will be s(1) = 641 – 1612 feet above your hand at t sec after firing. (a) Find ds/dt and d²s/dr?. (b) How long does it take the paper clip to reach its maximum height? : (c) With what velocity does it leave your hand? (d) On the moon, the same force will send the paper clip to a height of s(t) = 641 – 2.61? ft in t sec. About how long will it take the paper clip to reach its maximum height, and how high will it go? 764
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