The speed versus time graph for a particle is shown in the figure. The distance travelled (in $m$) by the particle during the time interval $t=0$ to $t=5\, s$ will be

The distance travelled by an object in time $t$ is given by $s = 2.5 t^2$. The instantaneous speed of the object at $t = 5\,s$ will be $....\,m/s$.

Which of the following graphs represents uniform motion?

$A$ train starting from rest accelerates uniformly for $100\,s,$ then comes to a stop with a uniform retardation in the next $200\,s.$ During the motion,it covers a distance of $3\,km.$ Choose the wrong option.

The displacement $(x)$ - time $(t)$ graph of a particle is shown in the figure. Which of the following is correct?

$A$ car starts from rest and moves with uniform acceleration $a$ on a straight road from time $t = 0$ to $t = T$. After that,a constant deceleration $a$ brings it to rest. In this process,the average speed of the car is