Question

At t= 0, a particle starts from rest at x= 0, y = 0, and moves in the xy plane with an acceleration a⃗ = (4.0i^ + 3.0j^)m/s2. Assume t is in seconds. Determine the speed of the particle as a function of time t.

Answer 1

Because the initial conditions are zero, one integrates twice, discarding the constant of integration each time. The displacement vector, s(t), is: 
s(t) = (2.0î + 1.5ĵ)t² meters