# What is the velocity v(t) if initially at t = t0 (where t0 is a constant greater than 1 sec) , we have v(t0) = v0?

**Question description**

Suppose a one-dimensional motion of an object with mass m is found to have its acceleration given by

a(t) = c

t3 for t > 1 sec where c is a constant.

a) What is the velocity v(t) if initially at t = t0 (where t0 is a constant greater than 1 sec) , we have

v(t0) = v0? [Express your answer in terms of t, v0, c, and t0.]

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