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## Homework Statement

A particle moving in xy plane has velocity components in x and y directions

Dx/dt = b1+c1t and dy/dt = b2+c2t

A) integrate above equations to give displacement components x and y as functions of time

B) write the velocity (v) of the particle at time t in terms of initial vectors I and j

C) find acceleration a of the particle in terms of unit vectors I and j

D) write an expression for magnitude of acceleration

E) find an expression for the time at which v and a are perpendicular

I have integrated the equations to give x=b1t+(c1t^2)/2+ constant (x0)

And y=b2t+(c2t^2)/2+ constant (y0)

Do not know what to do next :/