# Calculus Antiderivative Problem

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An object moves along a coordinate line with acceleration a(t)=(t+2)^3 units per second per second.

a). The initial velocity is 9 units per second.
The velocity function is v(t) =

b).The initial position is 2 units to the right of the origin.
The position function is x(t) =

• Calculus Antiderivative Problem -

v = 1/3 (t+2)^2 + c1
x = 1/6 (t+2) + c1*t + c2

now plug in the given conditions when t=0 to find c1 and c2

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