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 $5 \mathrm{s}$ at an angle of $45°$ with the horizontal. Find the speed with which it was projected.

A solid sphere and a hollow sphere are thrown horizontally from a cliff with equal velocities, respectively. Then which sphere reaches first on earth ?

A body is projected with a velocity $u.$ If the maximum height attained by it is half of its horizontal range, then its range must be 

A ball of mass $m$ is thrown vertically upwards, and at the same time another ball of mass $2 \mathrm{m}$ is thrown at an angle $\theta .$ If both the balls remain in our field of view for the same time, then the ratio of the maximum height attained by the balls is 

At what angle with the horizontal a projectile be projected so that the horizontal range and maximum height become same 

A plane flying horizontally at a height of $1500 \mathrm{m}$ with a velocity of $200{ \mathrm{m} \mathrm{s}}^{-1}$ passes directly overhead an antiaircraft gun. Then the angle with the horizontal at which the gun should be fired for the shell with a muzzle velocity of $400 \mathrm{m} {\mathrm{s}}^{-1}$ to hit the plane, is 

An arrow is shot in air, its time of flight is $5 \sec$ and horizontal range is $200 \mathrm{m}.$ The inclination of the arrow with the horizontal is (Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

The time of flight of a projectile is $10 \mathrm{s}$ and range is $500 \mathrm{m}.$ Maximum height attained by it is-[ $g=10 \mathrm{m} {\mathrm{s}}^{-2}$ ]

A bullet is fired horizontally from a rifle at a distant target. Ignoring the effect of air resistance, which of the following is correct?

A ball is thrown from a point with a speed $v_0$ at angle of projection $\mathrm{\theta }.$ From the same point and at the same instant, a person starts running with a constant speed $v_0/2$ to catch the ball? If yes, what should be the angle of projection?

If two projectiles are fired at the angles $30°$ and $60°$ respectively then the ratio of their horizontal ranges is

If the horizontal range of a projectile is equal to the maximum height reached, then the corresponding angle of projection is, 

Two projectiles of the same mass and with the same velocity are thrown at an angle $60°$ and $30°$ with the horizontal, then which will remain same?

Two particles are projected with the same initial velocity, one makes angle $\theta$ with vertical and another with horizontal. If their common range is $R\mathit{,}$ then the product of their time of flight is directly proportional to

When a body is thrown with a velocity $u$ making an angle $\theta$ with the horizontal plane, the maximum distance covered by it in the horizontal direction is-

At what other angle of elevation, the range of a shell fired from a gun will be the same as that for an angle of elevation $\frac{5\pi }{36}$?

A particle is projected under gravity at an angle of projection $45°.$ If for ground to ground projectile motion its range is $36 \mathrm{m}.$ Then maximum height attained by particle-

A ball is thrown at an angle of $60°$ to the horizontal. It falls on the ground at a distance of $90 \mathrm{m}.$ If the ball is thrown with the same initial speed at an angle $30°$ to the vertical, it will fall on the ground at a distance of-

The velocity of projection of an oblique projectile is $\left(6\widehat{\mathbf{i}}+8\widehat{\mathbf{j}}\right)\mathrm{m}{\mathrm{s}}^{-1}$. The horizontal range of the projectile is

A boy threw a stone up to a maximum height of $10 \mathrm{m}$. The maximum horizontal distance that the boy can throw the stone will be,