v=∫(pt²-qt³)dt = p•t^3/3 -q•t^4/4,
s=∫v•dt=p•t^4/12 - q•t^5/20
The acceleration of a certain particle is a function of time: a(t) = pt^2-qt^3, where p and q are constants. Initially, the velocity and position of the particle are zero.
(a) What is the velocity as a function of time?
(b) What is the position as a function of time?
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