From the following v-t graph, find the displacement for time interval `t=3` to `t=12 s`.

A particle is moving along the x-axis. Consider it’s a-t graph. If initial velocity is 10 m//s, sketch the v-t graph and calculate the displacement in the time interval t=0 to 12 s.

Find average speed in time interval t= 2 to t=10s

Study the following velocity-time graph. Determine the displacement and distance in the time interval t=0 to t=12 s . Sketch the acceleration-time graph.

A particle is moving in a straight line. Its v-t graph in different cases are as shown below. Find the diplacement and distance in time interval t=0 to t=10 s for the following cases:

The acceleration of a particle varie with time as shown in the figure Find the displacement of the particle in the interval from 1 = 2s to t = 4s Assume that v = 0 at t=0

Represent the following a-t graph on a v-t graph.

The position of a particle varies with time according to the relation x=3t^(2)+5t^(3)+7t , where x is in m and t is in s. Find (i) Displacement during time interval t = 1 s to t = 3 s. (ii) Average velocity during time interval 0 - 5 s. (iii) Instantaneous velocity at t = 0 and t = 5 s. (iv) Average acceleration during time interval 0 - 5 s. (v) Acceleration at t = 0 and t = 5 s.

The position of a particle varies with time according to the relation x=3t^(2)+5t^(3)+7t , where x is in m and t is in s. Find (i) Displacement during time interval t = 1 s to t = 3 s. (ii) Average velocity during time interval 0 - 5 s. (iii) Instantaneous velocity at t = 0 and t = 5 s. (iv) Average acceleration during time interval 0 - 5 s. (v) Acceleration at t = 0 and t = 5 s.

A particle is moving with a velocity of v=(3+ 6t +9t^2) m/s . Find out (a) the acceleration of the particle at t=3 s. (b) the displacement of the particle in the interval t=5s to t=8 s.