$A$ bullet is shot vertically downwards with an initial velocity of $100\,m/s$ from a certain height. Within $10\,s$,the bullet reaches the ground and instantaneously comes to rest due to a perfectly inelastic collision. The velocity-time curve for the total time $t = 20\,s$ will be: (Take $g = 10\,m/s^2$)

The graph of displacement $s$ versus time $t$ is given below. Its corresponding velocity-time graph will be:

The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point:

The following figure shows the variation of displacement $x$ with time $t$ for a particular object. Identify the correct interpretation of the graph.

Given below are two statements:
Statement $I:$ Area under velocity-time graph gives the displacement of the body in a given time.
Statement $II:$ Area under acceleration-time graph is equal to the change in velocity in the given time.
In the light of given statements,choose the correct answer from the options given below.

The displacement-time graph of two moving particles makes angles of $30^{\circ}$ and $45^{\circ}$ with the time axis ($X$-axis). The ratio of their velocities is