A projectile is thrown with a speed u at an angle $heta$ to the horizontal. The radius of curvature of its trajectory when the velocity vector of the projectile makes an angle $\alpha$ with the horizontal is

For a projectile, the ratio of maximum height reached to the square of flight time is $\left( {g = 10\;m{s^{ - 2}}} \right)$

For a projectile the ratio of maximum height reached to the square of time of flight is $\left( {{\rm{g\;}} = {\rm{\;}}10{\rm{\;m}}{{\rm{s}}^{ - 1}}} \right)$

A cricketer hits a ball with a velocity 25 m/s at ${60^0}$ above the horizontal. How far above the ground it passes over a fielder 50 m from the bat (assume the ball is struck very close th the ground)

Two projectiles A and B are launched horizontally with velocities $v$ and $2v$ respectively from the same height $h$. If projectile A lands at a horizontal distance $x$ from the launch point, at what horizontal distance will projectile B land?

At the height $80\,m$ an aeroplane is moving with $150\,m/s$. A bomb is dropped from it so as to hit a target. At what distance from the target should be the bomb be dropped $({\rm{given}}\,\,\,g = 10\,\,m/s)$

A body just being revolved in a vertical circle of radius R with a uniform speed. The string breaks when the body is at the highest point. The horizontal distance covered by the body after the string breaks is

A ball is projected with velocity u at an angle α with horizontal plane. Its speed when it makes an angle $\beta$ with the horizontal is

A bullet is fired from a cannon with velocity 500 m/s . If the angle of projection is $15^\circ$ and $g = 10\;m/{s^2}$. Then the range is

The height y and the distance x along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by $y = 8t - 5{t^2}$ metre and x=6t metre, where t is in second. The velocity with which the projectile is projected, is

A stone is thrown at an angle $heta$ to the horizontal reaches a maximum height H. Then the time of flight of stone will be