The acceleration of particle at position x is given by a=3-2x. If the particle is rest at x=0, at what value of x is it at rest again ?

Figure shows the variation of a force F acting on a particle along x-axis. If the particle begins at rest at x = 0, what is the particle's coordinate when it again has zero speed?

A particle is moving along the x-axis whose acceleration is given by a= 3x-4 , where x is the location of the particle. At t = 0, the particle is at rest at x = 4//3m . The distance travelled by the particles in 5 s is

A particle is moving along the x-axis whose acceleration is given by a= 3x-4 , where x is the location of the particle. At t = 0, the particle is at rest at x = 4//3m . The distance travelled by the particles in 5 s is

The acceleration of a particle moving along x -axis is a= -100x .It is released from rest at x=2. Here a and x are in S.I.units.The minimum time taken by particle to go from x=2 to x=0 is (pi)/(alpha) seconds.Find the value of (alpha)/(4) .

A particle of mass m moves on positive x-axis under the influence of force acting towards the origin given by -kx^2 hat i. If the particle starts from rest at x=a, the speed it will attain when it crosses the origin is

A particle of mass m moves on positive x-axis under the influence of force acting towards the origin given by -kx^2 hat i. If the particle starts from rest at x=a, the speed it will attain when it crosses the origin is

A particle is moving along the x-axis with an acceleration a = 2x where a is in ms^(–2) and x is in metre. If the particle starts from rest at x=1 m, find its velocity when it reaches the position x = 3.

A particle is moving along the x-axis with an acceleration a = 2x where a is in ms^(–2) and x is in metre. If the particle starts from rest at x=1 m, find its velocity when it reaches the position x = 3.

If position of a particle at instant t is given by x=3t^(2) , find the velocity and acceleration of the particle.