Question

A particle's initial velocity, given as components, is vx = 2.0 m/s and vy = 3.0 m/s. (a) Calculate its velocity 1.5 s later if it experiences an acceleration, given as components, of ax = -1.0 m/s2 and ay = -2.0 m/s2. (b) Calculate the particle's displacement from its initial position at the given time.
I cant figure this out

Answer 1

Just do things the normal way, but using vectors, to keep track of x and y separately.
a(t) = <-1,-2>
v(t) = <2-t,3-2t>
v(1.5) = <0.5,0>

s(t) = <2t - 1/2 t^2, 3t-t^2>
s(1.5) = <1.875,2.25>