A person of height $1.6 \mathrm{~m}$ is walking away from a lamp post of height $4 \mathrm{~m}$ along a straight path on the flat ground. The lamp post and the person are always perpendicular to the ground. If the speed of the person is $60 \mathrm{~cm} \mathrm{~s}^{-1}$, the speed of the tip of the person's shadow on the ground with respect to the person is. . . . $\mathrm{cm} \mathrm{s}^{-1}$.

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

The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the $x$-axis as shown in the figure. The ratio of their respective velocity is :

The position-time graphs for two students $A$ and $B$ returning from the school to their homes are shown in figure

$(A)$ $A$ lives closer to the school

$(B)$ $B$ lives closer to the school

$(C)$ $A$ takes lesser time to reach home

$(D)$ $A$ travels faster than $B$

$(E)$ $B$ travels faster than $A$

Choose the correct answer from the options given below :