A particle moves along a straight line and its position at time t is given by s(t) = 2t – 21t + 36t where s is measured in feet and t in seconds. Find the velocity (in ft/sec) of the particle at time t = 0: The particle stops moving (i.e. is in a rest) twice, once whent = A and again when t = B where A < B. A is and B is What is the position of the particle at time 14? ...

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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A particle moves along a straight line and its position at time t is given by s(t) = 2t° – 21t2 + 36t where
s is measured in feet and t in seconds.
Find the velocity (in ft/sec) of the particle at time t = 0:
The particle stops moving (i.e. is in a rest) twice, once when t =
A and again when t = B where A < B.
A is
and B is
What is the position of the particle at time 14?
...
...
Finally, what is the TOTAL distance the particle travels between time 0 and time 14?
Transcribed Image Text:A particle moves along a straight line and its position at time t is given by s(t) = 2t° – 21t2 + 36t where s is measured in feet and t in seconds. Find the velocity (in ft/sec) of the particle at time t = 0: The particle stops moving (i.e. is in a rest) twice, once when t = A and again when t = B where A < B. A is and B is What is the position of the particle at time 14? ... ... Finally, what is the TOTAL distance the particle travels between time 0 and time 14?
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