The velocity function of a particle moving along a line is givenby the equation v(t) = t2 - 2t -3. The particle hasinitial position s(0) = 4.
a. Find the displacement function
b. Find the displacement traveled between t = 2 and t = 4
c. Find when the particle is moving forwards and when it movesbackwards
d. Find the total distance traveled between t = 2 and t = 4
e. Find the acceleration function, and use it to find theacceleration of the particle at t = 3
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