The acceleration of a particle in the - plane varies with time as a =(2t +3t^2 ) m s ^ -2

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

The acceleration of a particle in the

x

y

plane varies with time as

\mathbf{a}=(2t\hat{\imath}+3t^2\hat{\jmath})\text{ m s}^{-2}.

At time

t=0

, the velocity of the particle is

2\text{ m s}^{-1}

along the positive

x

-direction and the particle starts from the origin. Find the velocity and coordinates of the particle at

t=1\text{ s}