An explosion causes debris to rise vertically with an initial velocity of 64 feet per second. The function s(t) = -16t2 + 64t describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. a. What is the instantaneous velocity of the debris 1 second after the explosion? 3 seconds after the explosion? b. What is the instantaneous velocity of the debris when it hits the ground?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 30PQ: A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the...
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An explosion causes debris to rise vertically with an initial velocity of 64 feet per second. The function s(t) = -16t2 + 64t describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion.
a. What is the instantaneous velocity of the debris 1 second after the explosion? 3 seconds after the explosion?
b. What is the instantaneous velocity of the debris when it hits the ground?

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