Projectile Motion

A ball is projected at an angle of $30°$ above with the horizontal from the top of a tower and strikes the ground in $5 \sec$ at angle of $45°$ with the horizontal. Find the height of the tower and the speed with which it was projected.

The maximum range of a gun of horizontal terrain is $16 \mathrm{km}$. If $g=10\mathrm{m}{\mathrm{s}}^{-2},$ then, muzzle velocity of a shell must be

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?

Two guns situated on the top of a hill of height $10 m$ fire one shot each with the same speed  $5\sqrt{3}m{s}^{-1}$ at some interval of time. One gun fires horizontally and other fires upwards at an angle of  $60°$  with the horizontal. The shots collide in air at point $P$. Find the time interval between the firings.

Two towers $AB$ and $CD$ are situated a distance $d$ apart as shown in figure. $AB$ is $20 \mathrm{m}$ high and $CD$ is $30 \mathrm{m}$ high from the ground. An object of mass $m$ is thrown from the top of $AB$ horizontally with a velocity of $10$ $\mathrm{m}{\mathrm{s}}^{-1}$  towards $CD$. Simultaneously another object of mass $2m$ is thrown from the top of $CD$ at an angle of $60°$ to the horizontal towards $AB$ with the same magnitude of initial velocity as that of the first object. The two objects move in the same vertical plane, collide in mid-air and stick to each other. Find the position where the objects hit the ground (from $B$).

A object is thrown with initial speed $5 {\mathrm{ms}}^{-1}$ with an angle of projection $30°$. What is the range covered by the particle. (write answer in meter).

A object is thrown with initial speed $5 {\mathrm{ms}}^{-1}$ with an angle of projection $30°$. What is the  maximum height achieved by object. (write answer in meter).

If an object is thrown horizontally with an initial speed $10 {\mathrm{ms}}^{-1}$ from the top of a building of height $100 \mathrm{m}$. What is the horizontal distance covered by the particle?

A projectile is fired at an angle of $60°$ to the horizontal with an initial velocity of $800 \mathrm{m}/\mathrm{s},$ find the time of flight of the projectile before it hits the ground.

From the top of a tower $19.6 \mathrm{m}$ high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of $45°$ with the horizontal, then the initial velocity of the ball is

A body is projected horizontally from a height of $5 \mathrm{m}$. It reaches the ground at a horizontal distance of $10 \mathrm{m}$. The speed of the particle when it reaches the ground is $\left(g=10 \mathrm{m}{ \mathrm{S}}^{-2}\right)$

With what minimum speed must a body be projected from the origin in the $x-y$ plane so that it can pass through a point whose $x$ and $y$ coordinates are $30 \mathrm{m}$ and $40 \mathrm{m}$ respectively? Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$

The range of a projectile when launched at an angle ${15}^{\mathrm{o}}$ with the horizontal is $1.5 \mathrm{km}$. What will be the range of that projectile when launched with the same velocity at an angle ${45}^{\mathrm{o}}$ to the horizontal?

The maximum range of a gun of horizontal terrain is $16 \mathrm{km}$. If $g=10\mathrm{m}{\mathrm{s}}^{-2},$ then, muzzle velocity of a shell must be

A ball thrown by one player reaches the other in $2 \mathrm{s}$. The maximum height attained by the ball above the point of projection will be $(g=10 {\mathrm{m}\mathrm{s}}^{-2})$

An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range $R$. To hit a target which is $\frac{R}{2}$ from the gun and on the same level, the elevation angle of the gun should be

Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, ${\mathrm{h}}_1$ and ${\mathrm{h}}_2.$ Which of the following is correct?

Two guns $A$ and $B$ can fire bullets at speeds $1\mathrm{ }\mathrm{km} {\mathrm{s}}^{-1}$ and $2 \mathrm{km} {\mathrm{s}}^{-1}$ respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is: