A ball is dropped from some height. After rebounding from the floor it ascends to the same height. Draw the velocity-time graph for the given motion.

The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time $t=0 \mathrm{s}$ to $t=6 \mathrm{s}$ is

A particle starts from the origin at time $t=0$ and moves along the positive $x\mathrm{-}\mathrm{}$axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t=5 \mathrm{s}?$

The velocity time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 s and (ii) the time at which the car will catch up with the scooter are, respectively.

The velocity-time graph of a body moving in a straight line is shown in figure. Find the displacement and distance travelled by the body in $10$ seconds.

The velocity $\left(v\right)$ and time $\left(t\right)$ graph of a body in a straight line motion is shown in the figure. The point $S$ is at $4.333$ seconds. The total distance covered by the body in $6 \mathrm{s}$ is :

From the velocity-time graph, given in figure of a particle moving in a straight line, one can conclude that:

The fig. shows the v-t graph of a particle moving in straight line. Find the time (in seconds) when particle returns to the starting point.

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The speed of a train increases at a constant rate $\alpha$ from zero to $v$ and then remains constant for an interval and finally decreases to zero at a constant rate $\beta$. The total distance travelled by the train is $l$. The time taken to complete the journey is $t$. Then, 

The velocity-time graph of a particle moving along a straight line is as shown in the diagram. The rate of acceleration and retardation is constant and is equal to $5\hspace{0.17em}\mathrm{m} {\mathrm{s}}^{-2}$. If the average velocity during the motion is $\mathrm{20\hspace{0.17em}}\mathrm{m} {\mathrm{s}}^{-1},$ then the maximum velocity of the particle is