A projectile is launched with an initial velocity $u$ at an angle $heta$ to the horizontal. At the highest point of its trajectory, a small explosion separates it into two equal masses. One mass falls vertically downwards. If the range of the original projectile would have been $R$, what is the horizontal distance between the two fragments when they land?

An object is projected at $5 \, m/s$ at $30^\circ$ to the vertical. What is its horizontal velocity component at the highest point?

A stone is projected from the ground with velocity $50{\rm{\;m}}{{\rm{s}}^{ - 1}}$ and angle of ${30^0}$. It crosses a wall after 3 s. How far beyond the wall the stone will strike the ground?

A boat crosses a river from port A to port B, which are just on the opposite side. The speed of the water is ${V_W}$ and that of boat is ${V_B}$ relative to still water. Assume ${V_B} = 2{V_W}$. What is the time taken by the boat, if It has to cross the river directly on the AB line

The potential energy of a projectile at its maximum height is equal to its kinetic energy there. If the velocity of projection is $20\,m{s^{ - 1}}$ its time of flight is $\left( {g = 10\,\,m{s^{ - 2}}} \right)$

A projectile is launched with velocity $v$ up a smooth incline of $45^o$. It travels a distance $d_1$. If the same projectile is launched with the same velocity up an incline of $30^o$, it travels a distance $d_2$. What is the ratio $d_1:d_2$?

Two bodies are projected from roof with same speed in different directions. If air resistance is not taken into account then

A bullet is fired from a gun at a speed of $280 \mathrm{m} \mathrm{s}^{-1}$ at an angle of $30^\circ$ above the horizontal. Calculate the maximum height attained by the bullet. (Take $g = 9.8 \mathrm{m} \mathrm{s}^{-2}$)

A stone is projected at $30^\circ$ above the horizontal with a speed of $280 \ m/s$. Calculate the maximum height reached by the stone. Assume $g = 9.8 \ m/s^2$.

Two identical projectiles are launched with the same initial speed. Projectile A is launched up a smooth incline of $30^o$ and travels a distance $L_A$. Projectile B is launched up a smooth incline of $60^o$ and travels a distance $L_B$. If the launch angles with respect to the horizontal are the same for both projectiles, which of the following is true?

A stone is projected at an angle of $45^\circ$ with a velocity of $50 \mathrm{m/s}$. What is the maximum height attained by the stone? (Take $g = 10 \mathrm{m/s^2}$ and $\sin 45^\circ = \frac{1}{\sqrt{2}} \approx 0.71$)