Calculation of velocity, acceleration and distance by graph

A particle moves along a horizontal line and its velocity changes with time as shown in the figure. Calculate (i)initial acceleration, (ii)total distance described . Plot the x-t graph of the motion.

A graph between the square of the velocity of a particle and the distance s moved by the particle is shown in the figure. The acceleration of the particle is

Velocity time graph for a particle moving in a line is given. Calculate the displacement of the particle and distance travelled in first 4 seconds.

Calculate the displacement and distance travelled by the body in 5 s, from the adjoining velocity-time graph

The graph between instantaneous velocity and acceleration of a particle performing S.H.M. is

A graph between the square of the velocity of a particle and the distance 'S' moved by the particle is shown in the figure. The acceleration of the particle in kilometer per hour square is

The velocity - displacement graph of a particle moving along a straight line is shown The most suitable acceleration - displacement graph will be

The given graph shows the variation of velocity with displacement. Which one of the graphs given below correctly represents the variation of acceleration with displacement ?

The velocity-time graph of an object is given below. Calculate the average acceleration of the object in the time interval of 4 s to 6 s.