A projectile is launched with initial speed $u$ at an angle $heta$ from the horizontal. At the highest point, it explodes into three fragments of equal mass. One fragment falls vertically downwards, the second fragment continues along the original path with speed $v$. Find the speed of the third fragment immediately after the explosion.

A particle is projected with velocity $2\sqrt {{\rm{g}}h}$ so that it just clears two walls of equal height h, which are at a distance of 2h from each other. What is the time interval of passing between the two walls?

A projectile is launched with an initial velocity of 20 m/s at an angle of 30° with the horizontal. What is the horizontal range of the projectile? (Take g = 10 m/s²)

Which of the following remains constant during the motion of a projectile (neglecting air resistance)?

A toy car is launched up a frictionless ramp inclined at $20^\circ$ to the horizontal, traveling a distance $x$. If the car is launched with the same initial speed up a ramp inclined at $40^\circ$, what distance will it travel? Express your answer in terms of $x$.

If a ball is launched at $8 \ m/s$ at $30^\circ$ to the vertical, what is its velocity at the apex of its flight?

A projectile is launched with an initial velocity of $196 \mathrm{m} \mathrm{s}^{-1}$ at an angle of $30^\circ$ to the horizontal. Determine the maximum height reached by the projectile. (Use $g = 9.8 \mathrm{m} \mathrm{s}^{-2}$)

A ball is projected at an angle $heta$ to the horizontal. The angle between its velocity and acceleration vectors will be:

An object is projected up a smooth inclined plane at an angle of $60^\circ$ with the horizontal. It travels a distance $x_1$ along the plane. When the angle of inclination is reduced to $30^\circ$ and the same object is projected with the same initial speed, it travels a distance $x_2$. The ratio $x_1 : x_2$ is:

The time of flight of a projectile on an upward inclined plane depends upon

A ball is projected with kinetic energy E. at an angle of ${45^0}$ to the horizontal. At the highest point during its flight, its kinetic energy will be