BM Sharma Solutions for Chapter: Motion in One Dimension, Exercise 4: DPP

A man drops a ball downside from the roof of a tower of height $400$ $\mathrm{m}$. At the same time, another ball is thrown upside with a velocity $50\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$ from the surface of the tower, then they will meet at what height from the surface of the tower?

If a freely falling body travels in the last second, a distance equal to the distance traveled by it in the first $3 \mathrm{second}$, the total time of the travel is

A body is projected up with a speed $u$ and the time taken by it is $T$ to reach the maximum height $H$. Pick out the correct statement.

A body freely falling from rest, has a velocity $v$ after it falls through a height $h$. The distance it has to fall down for its velocity to become double is

A man throws balls with the same speed vertically upwards, one after the other, at an interval of $2 \mathrm{s}$. What should be the speed of the throw, so that more than two balls are in the sky at any time? (Given, $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

A stone is projected vertically upwards at $t=0 \mathrm{s}$. The net displacement of stone is zero in the time interval between $t=0 \mathrm{s}$ to $t=T \mathrm{s}$. Select the correct statement(s).

A person standing on the roof of a $40\mathrm{ }\mathrm{m}$ high tower, throws a ball vertically upwards with speed $10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$. Two seconds later, he throws another ball again in vertical direction (use $g=10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$). Both the balls hit the ground simultaneously.

A balloon starts rising from the ground with an acceleration of $1.25\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$. After $8 \mathrm{s}$, a stone is released from the balloon. After releasing, the stone will