Antiderivative, word problem

Question

A particle is moving with acceleration . its position at time  is  and its velocity at time  is . What is its position at time ?

Answer 1

Integrate a(t) and use a(0) to get v(t) = 12t² + 8t + 15

Integrate v(t) and use v(0) to get s(t) = 4t³ + 4t² + 15t + 11

Now evaluate s(5)