A Particle moves along x axis with power generated by forces on it varying with time as P=t, where P is in watts and t is in seconds. The change in kinetic energy of this particle in the first two seconds is?

A particle moves along a straight line such that its position x at any time t is x=3t^(2)-t^(3) , where x is in metre and t in second the

The x -coordinate of a particle moving along x -axis varies with time as x=6-4t+t^(2), where x in meter and t in second then distance covered by the particle in first 3 seconds is

Power delivered to a paticle varies with time as P = (3t^(2) - 2t) watt, where 't' is in seconds, then change in its kinetic energy between time t = 1 to t = 3s .

The position x of a particle varies with time t as x = 6 + 12t - 2 t^2 where x is in metre and in seconds. The distance travelled by the particle in first five seconds is

Power applied to a particle varies with time as P =(3t^(2)-2t + 1) watt, where t is in second. Find the change in its kinetic energy between time t=2s and t = 4 s .

The displacement of a particle is moving by x = (t - 2)^2 where x is in metres and t in second. The distance covered by the particle in first 4 seconds is.

A particle moves along the x-axis such that its co-ordinate (x) varies with time (t), according to the expression x=2 -5t +6t^(2), where x is in metres and t is in seconds. The initial velocity of the particle is :–