The acceleration of an object (in m/s2) is given by the function a(t) = 7 sin(t). The initial velocity of the object is v(0) = 4 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 115E
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The acceleration of an object (in m/s2) is given by the function
a(t) = 7 sin(t). The initial velocity of the object is
v(0) = 4 m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) =
b) Find the object's displacement (in meters) from time 0 to time
3.
meters
c) Find the total distance traveled by the object from time 0 to
time 3.
meters
Transcribed Image Text:The acceleration of an object (in m/s2) is given by the function a(t) = 7 sin(t). The initial velocity of the object is v(0) = 4 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters
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