A particle is moving along the axis under the influnence of a force given by `F = -5x + 15`. At time `t = 0`, the particle is located at `x = 6` and having zero velocity it take `0.5` second to reach the origin for the first time. The equation of mnotion of the particle can be respected by

A particle is moving along x-axis from x = 0 to x = 5 under the influence of force F = 7-2x + 3x^2 .

A particle moves along the x-axis from x=0 to x=5m under the influence of a given by F =7-2x + 3x^(2) . The work done by the applied force to the particle is.

Consider a particle moving along the positive direction of X-axis. The velocity of the particle is given by v = alphasqrt(x) ( alpha is a positive constant). At time t = 0, if the particle is located at x = 0, the time dependence of the velocity and the acceleration of the particle are respectively

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

A particle moving along the x axis has a position given by x=54 t - 2.0 t^(3) m . At the time t=3.0s , the speed of the particle is zero. Which statement is correct ?

A particle is moving along X-axis Its acceleration at time t is proportional to its velocity at that time. The differential equation of the motion of the particle is

A particle moves along x -axis under the action of a position dependent force F = (5x^(2) -2x) N . Work done by forces on the particle when it moves from origin to x = 3m is

A particle is moving along X-axis under a force such that its position -time graph is as shown in figure. As the particle passes position (5) :