The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial velocity of the object is v(0) = – 3 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. o meters c) Find the total distance traveled by the object from time 0 to time 3. meters

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Part a is -9cos(t)+6 
and part b is 16.7299

please help me with part c. 

thanks 

The acceleration of an object (in m/s?) is given by the function
a(t) = 9 sin(t). The initial velocity of the object is v(0) = - 3
m/s. Round your answers to four decimal places.
a) Find an equation v(t) for the object velocity.
v(t) =
%3D
b) Find the object's displacement (in meters) from time 0 to time 3.
d 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/s?) is given by the function a(t) = 9 sin(t). The initial velocity of the object is v(0) = - 3 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = %3D b) Find the object's displacement (in meters) from time 0 to time 3. d meters c) Find the total distance traveled by the object from time 0 to time 3. meters
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