If x = e5t where x is the position of a particle in meter, then position of the particle at time t = 1 s is equal to

Q. Acceleration of particle moving rectilinearly is $a=4-2x$ (where $x$ is position in meter and $a$ in ${ms}^{-2}$). It is at instantaneous rest at $x=0$. At what position $x$ (in meter) will the particle again come to instantaneous rest?

Q. The position $x$ of a particle varies with time $\left(t\right)$ as $x=a{t}^2-b{t}^3$. The acceleration at time $t$ of the particle will be equal to zero, where $t$ is equal to

Q. A particle is moving in a straight line whose position varies with time as $x=8t^2+\frac{2}{\pi }\sin \pi t$, where x is in meter and t is in second. Then the position, velocity and acceleration of a particle at $t=4$s respectively are?

Q. The position $x$ of a particle varies with time as $x=a{t}^2-b{t}^3$. The acceleration of particle is zero at time $T$ equal to

Q. A particle is performing S.H.M between x = – A and x = + A. The position of particle where K.E. equals to P.E.