The $x-t$ graph of a particle moving along a straight line is shown in the figure. The distance-time graph of the particle is correctly shown by:

The displacement-time graph for two particles $A$ and $B$ are straight lines inclined at angles of $30^\circ$ and $60^\circ$ with the time axis. The ratio of velocities $V_A:V_B$ is

$A$ body is thrown vertically upwards. Which one of the following graphs correctly represents the velocity vs time?

Write the definition of instantaneous velocity.

The relation between velocity $v$ and displacement $x$ is $v = x^2$. Find the acceleration at $x = 3 \ m$.

$A$ ball is thrown vertically upwards. Which of the following graphs represents the velocity-time graph of the ball during its flight (air resistance is neglected)?