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The acceleration of an object (in m/s2) is given by the function a(t)=6sin(t). The initial velocity...

The acceleration of an object (in m/s2) is given by the function a(t)=6sin(t). The initial velocity of the object is v(0)= −1 m/s. Round your answers to four decimal places.

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

v(t)= -6cos(t)+5

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

15-6sin(3) Meters

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

? Meters

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