If a particle is at rest then x - t graph can be only

A particle is thrown above, then correct v-t graph will be

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

Graph I and II give coordinates x(t) and y(t) of a particle moving in the x-y plane. Acceleration of the particle is constant and the graphs are drawn to the same scale. Which of the vector shown in options best represents the acceleration of the particle :-

For a particle moving on a straight lint the variation of acceleration with time is given by the graph as shown. Initially the particle was at rest. Then the corresponding kinetic energy of the particle versus time graph will be .

A particle is moving in a straight line and its acceleration-time graph is shown below. At t=0 , the particle is at rest. Find the velocity of the particle at t=3 s, 6 s and 8 s . Also sketch the v-s graph.

Acceleration versus time graph of a particle moving in a straight line is as shown in adjoining figure. If initially particle was at rest. Then corresponding kinetic energy versus time graph will be :

From the v versus t graph of figure (a) the time (s) at which the particle is at rest (b) at what time, if any does the particle reverse the direction of its motion? (c) The distance and displacement of the particle from t=0 s to t=6 s.

A graph of acceleration versus time of a particle starting from rest at t=0 is as shown in figure. The speed of the particle at t = 14s is