Projectile Motion

From a $10 \mathrm{m}$ high building, a stone $A$ is dropped and simultaneously another identical stone $B$ is thrown horizontally with an initial speed of  $5\mathrm{m} {\mathrm{s}}^{-1}.$ Which one of the following statements is true?

A body is projected at an angle of $60°$ with me horizontal with a speed of $10\sqrt{3} {\mathrm{ms}}^{-1}$. What is the angle with horizontal after $1.5 \sec$ ? $\left(g=10 \mathrm{m}/{\mathrm{s}}^2\right)$

An object is projected with a speed $u$. If $v$ is the speed at the highest position, then angle of projection in

A particle is projected with a velocity of $14 {\mathrm{ms}}^{-1}$ at an angle of $60 °$with the horizontal direction. Write down the magnitude and direction of velocity of the particle at the highest point of the path. ($\mathrm{g}=10 {\mathrm{ms}}^{-2}$) 

From the top of a $11 \mathrm{m}$ high tower a stone is projected with a speed $10 \mathrm{m}/\mathrm{s}$, at an angle of $37°$ as shown in the figure. The time of flight is

Show that the maximum height reached by a projectile launched at an angle of $45°$ is one quarter of its range.

The maximum horizontal range of a projectile is $400 \mathrm{m}$. The maximum height attained by it will be

A projectile has a range of $80 \mathrm{m}$ and reaches a maximum height of $20 \mathrm{m}$. Calculate the angle at which the projectile is fired.

A missile is projected with an angel of $30°$ with the horizontal and with a velocity of $500 \mathrm{m}/\mathrm{s}$. Calculate time of flight, horizontal range and maximum height reached (take $g= 10 \mathrm{m}/{\mathrm{s}}^2$).

Velocity vector of a projectile is $4\hat{i}+(16t-4t^2)\hat{j}$. Find the time of flight.

The maximum range of a bullet fired from a toy pistol mounted on a car at rest is $R_0=40 \mathrm{m}$. What will be the acute angle of inclination of the pistol for maximum range when the car is moving in the direction of firing with uniform velocity $v=20 \mathrm{m}/\mathrm{s}$, on a horizontal surface? $\left(g=10 \mathrm{m}/{\mathrm{s}}^2\right)$

A body projected vertically up with a velocity $\mathrm{u}$ attains a maximum height $\mathrm{H}$. If it is thrown up with velocity $2\mathrm{u}$, It attains a maximum height of _____.

A ball is projected with $30 m/s$ In horizontal direction from some height. Find time when it is at $45°$ from horizontal?

A projectile is fired horizontal with a velocity of$98 m{s}^{-1}$ from the top of a hill $490 m$high. Find the velocity with which the body will strike the ground.

A projectile is fired horizontally with a velocity of$98 m{s}^{-1}$ from the top of a hill $490 m$high. Find the distance of the target from the hill.

An aeroplane moving horizontally with a speed of $180 km/h$ drops a food packet while flying at a height of $490 m$.Find the horizontal range.

A projectile is fired horizontal with a velocity of$98 m{s}^{-1}$ from the top of a hill $490 m$high. Find the time taken to reach the ground.

A ball is projected horizontally with a velocity of$3 {\mathrm{ms}}^{-1}.$ What is the velocity of the ball after$0.4 \mathrm{s}? (g=10 {\mathrm{ms}}^{-2} ).$

A body is thrown horizontally from the top of a tower$44.1m$ high and strikes the ground at an angle of ${45}^{\circ }$ with the horizontal. Find the speed with which it was thrown from the top?