For the displacement-time graph shown in the figure,the ratio of the magnitudes of the (constant) speeds during the first two seconds and the next four seconds is

The slope of the velocity-time graph for motion with uniform velocity is equal to:

Explain instantaneous velocity.

The position $x$ of a particle at any time $t$ is given by $x(t) = 4t^3 - 3t^2 + 2$. The acceleration and velocity of the particle at $t = 2 \, s$ are respectively:

$A$ 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?

The velocity $(v)$ versus displacement $(x)$ plot of a body moving along a straight line is as shown in the graph. The corresponding plot of acceleration $(a)$ as a function of displacement $(x)$ is