A particle of unit mass is moving along x-axis. The velocity of particle varies with position x as v(x). =alphax^-beta (where alpha and beta are positive constants and x>0 ). The acceleration of the particle as a function of x is given as

A time varying force, F=2t is acting on a particle of mass 2kg moving along x-axis. velocity of the particle is 4m//s along negative x-axis at time t=0 . Find the velocity of the particle at the end of 4s.

A particle is moving along x -axis. Its velocity v with x co-ordinate is varying as v=sqrt(x) . Then

The rate of doing work by force acting on a particle moving along x-axis depends on position x of particle and is equal to 2x. The velocity of particle is given by expression :-

The velocity v of a particle moving along x - axis varies with ist position (x) as v=alpha sqrtx , where alpha is a constant. Which of the following graph represents the variation of its acceleration (a) with time (t)?

A particle is moving along x-axis under the action of a force F, which varies with its position (x)as Fprop(1)/(sqrtx). Find the variation of power due to this force with x.

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.

The acceleration-time graph of a particle moving along x-axis is shown in the figure. If the particle starts with velocity 3 m/s at t = 0, find the velocity of particle at t = 4 s.

A particle is moving on X- axis. Its velocity time graph is given in the figure. Find distance travelled by the particle in 5 sec .

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