Embibe Experts Solutions for Exercise 3: EXERCISE

An aeroplane is in a level flight at $144 \mathrm{km} {\mathrm{h}}^{-1}$ at an altitude of $1000 \mathrm{m}.$ How far from a target should a bomb be released from it to hit the target?

Two paper screens $A$ and $B$ are separated by $100 \mathrm{m}$ distance. A bullet pierces $A$ and then $B.$ The hole in $B$ is $10 \mathrm{cm}$ below the hole in $A.$ If the bullet is travelling horizontally at $A,$ calculate the velocity of the bullet at $A.$ (Neglecting the types of frictional forces):

A passenger in a train moving at an acceleration $a,$ drops a stone from the window. A person, standing on the ground, by the sides of the rails, observes the ball falling

A stone is thrown from the top of a tower at an angle of $30°$ above the horizontal level with a velocity of $40 \mathrm{m} {\mathrm{s}}^{-1}.$ It strikes the ground after $5$ second from the time of projection then the height of the tower is

A body is projected horizontally with a speed $v_0.$ Find the velocity of the body when it covers equal distances in horizontal and vertical directions.

A ball rolls off the top of a stair way with a horizontal velocity $10\sqrt{10} \mathrm{m} {\mathrm{s}}^{-1}.$ If the steps are $0.25 \mathrm{m}$ high and $5 \mathrm{m}$ wide then the ball will hit the edge of the $n^{\mathrm{th} }$ step where $n$ is