Velocity and acceleration of a particle at time t=0 are u=(2i^+3j^)m/s and a=(4i^+2j^)m/s2 respectively. find the velocity and displacement of particle at t=2s.

Here, Acceleration a=(4i^+2j^)m/s2 is constant. So, we can applyv=u+at and s=ut+12at2Substituting the proper values, we getv=(2i^+3j^)+(2)(4i^+2j^) =(10i^+7j^)m/sand s=(2)(2i^+3j^)+12(2)2(4i^+2j^) =(12i^+10j^)mTherefore, velocity and displacement of particle at t=2 s are  (10i^+7j^)m/s and (12i^+10j^)m respectively.