The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t)v(t) = −8cos(t)−2Correct   b) Find the object's displacement (in meters) from time 0 to time 3. 3.4187Incorrect   meters c) Find the total distance traveled by the object from time 0 to time 3.    meters

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...
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The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The initial velocity of the object is v(0)=−10v(0)=-10 m/s. Round your answers to four decimal places.

a) Find an equation v(t) for the object velocity.

v(t)v(t) = −8cos(t)−2Correct  

b) Find the object's displacement (in meters) from time 0 to time 3.

3.4187Incorrect   meters

c) Find the total distance traveled by the object from time 0 to time 3.

   meters
 
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