Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Chapter 3.1, Problem 6PT
To determine

To choose: The appropriate option for the velocity at time t=3 when the position of the particle is p(t)=2t24t+1.

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Suppose a stone is thrown vertically upward with an initial velocity of 48 ft/s from a bridge 64 ft above a river. By Newton's laws of motion, the position of the stone (measured as the height above the river) after t seconds is s(t) = -16t² + 48t + 64, where s = 0 is the level of the river. %3D a). Find the velocity and acceleration functions. b). What is the highest point above the river reached by the stone? c). With what velocity will the stone strike the river?
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