Figure shows the x coordinate of a particle as a function of time. Find the signs of `v_x and a_x ` at `t=t_1`, `t=t_2 ` and ` t=t_3`.

Figure gives the x-t plot of a particle is one dimensional motion. Give the signs of position, velocity and acceleration of the particle at t = 0.3s

Let bar(v)(t) be the velocity of a particle at time t. Then :

Let r_(1)(t)=3t hat(i)+4t^(2)hat(j) and r_(2)(t)=4t^(2) hat(i)+3that(j) represent the positions of particles 1 and 2, respectiely, as function of time t, r_(1)(t) and r_(2)(t) are in metre and t in second. The relative speed of the two particle at the instant t = 1s, will be

The coordinates of a moving particle at time t are given by x=ct^(2) and y=bt^(2) . The speed of the particle is given by :-

The x and y coordinates of a particle at any time t are given by x=7t+4t^2 and y=5t , where x and t is seconds. The acceleration of particle at t=5 s is

The coordinates of a particle moving in XY-plane very with time as x=4t^(2),y=2t . The locus of the particle is

Velocity of a particle varies with time as v=4t. Calculate the displacement of particle between t=2 to t=4 sec.

A particle moves along a straight line and its position as a function of time is given by x = t6(3) - 3t6(2) +3t +3 , then particle

The x-t graph of a particle undergoing simple harmonic motion is shown in figure. Acceleration of particle at t = 4//3 s is

The co-ordinate of the particle in x-y plane are given as x=2+2t+4t^(2) and y=4t+8t^(2) :- The motion of the particle is :-