The position of a particle moving along X -axis varies with time as x=ut+A sin omega t Att =0 x=0 . Between t=0 and t=t_(0) average velocity of particle is u .Then values of t_(0) can be

The magnitude of force acting on a particle moving along x-axis varies with time (t) as shown in figure. If at t = 0 the velocity of particle is v_(0) , then its velocity at t=T_(0) will be

The position x of particle moving along x-axis varies with time t as x=Asin(omegat) where A and omega are positive constants. The acceleration a of particle varies with its position (x) as

The position (x) of a particle moving along x - axis veries with time (t) as shown in figure. The average acceleration of particle in time interval t = 0 to t = 8 s is

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

Velocity (in m/s) of a particle moving along x-axis varies with time as, v= (10+ 5t -t^2) At time t=0, x=0. Find (a) acceleration of particle at t = 2 s and (b) x-coordinate of particle at t=3s

The position of a particle moving along x-axis varies eith time t as x=4t-t^(2)+1 . Find the time interval(s) during which the particle is moving along positive x-direction.

The position of particle moving along the x-axis veries with time t as x=6t-t^(2)+4 . Find the time-interval during which the particle is moving along the positive x-direction.

If the velocity of a particle moving along x-axis is given as v=(3t^(2)-2t) and t=0, x=0 then calculate position of the particle at t=2sec.

A particle is moving along x-axis. Its X-coordinate varies with time as, X=2t^2+4t-6 Here, X is in meters and t in seconds. Find average velocity between the time interval t=0 to t=2s.

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.