Question

A particle is moving with the given data. Find the position of the particle.
a(t) = t - 2
s(0) = 3
v(0) = 2

Answer 1

integral of a(t) is t^2/2-2t+C, well, C=v(0)=2
integral of v(t) is t^3/6-t^2+2t+C, and C=s(0)=3
so s(t)=t^3/6-t^2+2t+3

Answer 2

Thanks :)