Position of a particle moving along `x` -axis is given as `X=1-3cos t+4sin t` .At what time instant speed of the particle is maximum?

Position of particle moving along x-axis is given as x=2+5t+7t^(2) then calculate :

Position of particle moving along x-axis is given by x=2t^(3)-4t+3 Initial position of the particle is

Position of a particle moving along x-axis is given by x=2+8t-4t^(2) . The distance travelled by the particle from t=0 to t=2 is:-

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.

The position of a particle moving along the y-axis is given as y=3t^(2)-t^(3) where y is in , metres and t is in sec.The time when the particle attains maximum positive y position will be

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.

If the velocity of the a particle moving on x-axis is given by v=3t^(2)-12 t +6. at what time is the acceleration of particle zero ?

Position of a particle moving along x-axis is given by x=6t-t^(2)+4 , where x is in metre and t is in second. Which of the following is correct?

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 ?