1) The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 − 2t − 8,    1 ≤ t ≤ 5 b.) Find the distance traveled by the particle during the given time interval

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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1) The velocity function (in meters per second) is given for a particle moving along a line.

v(t) = t2 − 2t − 8,    1 ≤ t ≤ 5
b.) Find the distance traveled by the particle during the given time interval.
 
2.) The acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle moving along a line.
a(t) = 2t + 2,    v(0) = −3,    0 ≤ t ≤ 4
 
b.) Find the distance traveled (in m) during the given time interval.
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