$A$ rigid ball rolls without slipping on a surface shown below: Which one of the following is the most likely representation of the distance travelled by the ball versus time graph?

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

$A$ particle moves according to the equation $x = a + bt^2$,where $a = 15 \, cm$ and $b = 3 \, cm/s^2$. What is the velocity of the particle at $t = 3 \, s$ in $cm/s$?

If the position-time graph of a particle is a sine curve as shown,what will be its velocity-time graph?

$A$ batsman hits a sixer and the ball touches the ground outside the cricket ground. Which of the following graphs describes the variation of the cricket ball's vertical velocity $v$ with time between the time $t_1$ as it hits the bat and time $t_2$ when it touches the ground?

From the $v-t$ graph,find the total distance covered by the car in time $t = t_1 + t_2$.