If a car accelerates with acceleration depend on displacement as `a =6x^(2)+2x+5`. Find velocity of particles when it is at x=3m.Given that initially it starts from x=1 with velocity 2 m/s.

Displacement x=t^(3)-12t+10 . The acceleration of particle when velocity is zero is given by

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

The acceleration a of alpha of a particle depends on displacements covered in a time t as a= S + 5 . It is given that initially S=0 m and v=5m//s . Then

A car accelerates uniformly at 4 m s^(-2) from rest. Find its velocity at the end of 5 seconds.

The acceleration of a particle is given by the relation as a = -kv^(5//2) , where is a constant. The particle starts at x=0 with a velocity of 16 m/s, and when x = 6, the velocity is observed to be 4 m/s. Find the velocity of particle when x=5m and the time at which the velocity ofthe particle is 9 m/s.

For motion of an object along the x-axis the velocity v dipends on the displacement x an v=3x^(2) , then what is the acceleration at x=2 m .

Acceleration of a particle in x-y plane varies with time as a=(2t hati+3t^2 hatj) m//s^2 At time t =0, velocity of particle is 2 m//s along positive x direction and particle starts from origin. Find velocity and coordinates of particle at t=1s.

If v = x^2 - 5x + 4 , find the acceleration of the particle when velocity of the particle is zero.

A particle moves along the x-axis obeying the equation x=t(t-1)(t-2) , where x is in meter and t is in second a. Find the initial velocity of the particle. b. Find the initial acceleration of the particle. c. Find the time when the displacement of the particle is zero. d. Find the displacement when the velocity of the particle is zero. e. Find the acceleration of the particle when its velocity is zero.