At time t, the position of a body moving along the s-axis is s= -t³+15t2-72t m. a. Find the body's acceleration each time the velocity is zero. b. Find the body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=5.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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At time t, the position of a body moving along the s-axis is s= -t3+15t²-72t m.
a. Find the body's acceleration each time the velocity is zero.
b. Find the body's speed each time the acceleration is zero.
c. Find the total distance traveled by the body from t=0 to t=5.
Transcribed Image Text:At time t, the position of a body moving along the s-axis is s= -t3+15t²-72t m. a. Find the body's acceleration each time the velocity is zero. b. Find the body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=5.
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