The velocity function is v(t) = −t² + 5t − 4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-3,5]. displacement : distance traveled: =

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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The velocity function is v(t) = −t² +5t − 4 for a particle moving
along a line. Find the displacement and the distance traveled by
the particle during the time interval [-3,5].
displacement
distance traveled =
Transcribed Image Text:The velocity function is v(t) = −t² +5t − 4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-3,5]. displacement distance traveled =
Evaluate the indefinite integral.
[(-98
-9 sin(t) +8 cos(t)- 5 sec²(t)-4e¹ +
+C.
6
(12) dr
dt
1+t²
Transcribed Image Text:Evaluate the indefinite integral. [(-98 -9 sin(t) +8 cos(t)- 5 sec²(t)-4e¹ + +C. 6 (12) dr dt 1+t²
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