Moderate# Find Position Vector Given the Acceleration Vector

APCALC-4KUKGY

A particle moves along a curve in the xy-plane with an acceleration $<-3, 2t>$.

If the velocity is $<10, -5>$ and the position is $<0,1>$ at time $t = 0$, find an expression for the position of the particle for all times $t \gt 0$.