A motorcycle stunt rider rides off the edge of a cliff. Just at the edge, his velocity is horizontal, with magnitude $9.0 \mathrm{m} {\mathrm{s}}^{-1}$. Find the motorcycle's position, distance from the edge of the cliff and velocity after $0.5 \mathrm{s}$.

An object is thrown between two tall buildings $180 \mathrm{m}$ from each other. The object thrown horizontally from a window $55 \mathrm{m}$ above the ground from one building strikes a window $10 \mathrm{m}$ above the ground in another building. Find out the speed of projection.

A fighter plane moving with a speed of $50\sqrt{2} \mathrm{m} {\mathrm{s}}^{-1}$ upward at an angle of $45°$ with the vertical releases a bomb when it was at a height $1000 \mathrm{m}$ from the ground. Find the time of flight

Two paper screens $A$ and $B$ are separated by a distance of $100 \mathrm{m}$. 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 hitting the screen $A$, calculate the velocity of the bullet when it hits the screen $A$. Neglect the resistance of paper and air.

Two stones $A$ and $B$ are projected simultaneously from the top of a $100 \mathrm{m}$ high tower. Stone $B$ is projected horizontally with speed $10 \mathrm{m} {\mathrm{s}}^{-1}$ and stone $A$ is dropped from the tower. Find out the following: Time of flight of the two stone

A ball is thrown horizontally from the top of a tower and strikes the ground in $3 \mathrm{s}$ at an angle of $30°$ with the vertical.

$\left(\mathrm{a}\right)$ Find the height of the tower.

$\left(\mathrm{b}\right)$ Find the speed with which the body was projected.

At what angle should a ball be projected up an inclined plane with a velocity $v_0$ so that it may hit the incline normally. The angle of the inclined plane with the horizontal is $\alpha$.

A body is projected up with a speed $v_0$ along the line of greatest slope of an inclined plane of angle of inclination $\beta$. If the body collides elastically perpendicular to the inclined plane, find the time after which the body passes through its point of projection.