The acceleration of an object (in m/s2) is given by the function `a(t) = 5 sin(t)`. The initial velocity of the object is `v(0) = -7` m/s.

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