A projectile is launched at an angle $heta$ with initial speed $u$. At its highest point, it explodes into two identical fragments. One fragment moves vertically upwards with speed $v$ immediately after the explosion. What is the speed of the other fragment immediately after the explosion?

A ball is rolled up a frictionless ramp inclined at $30^o$ to the horizontal. It travels a distance $x$. If the same ball is rolled with the same initial speed up a frictionless ramp inclined at $60^o$ to the horizontal, how far will it travel?

The horizontal range of a projectile is maximum when the angle of projection is

A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south

A ball is projected from ground at angle $heta$ with the horizontal. After t=1s, it is moving at ${45^0}$ with the horizontal and after t=2second, it is moving horizontally. What is speed of projection of ball ? $\left[ {g = 10{\rm{ }}m{s^{ - 2}}} \right]$

A ball is projected with velocity ${v_0}$ at an angle of elevation ${30^0}$. Mark the correct statement

In the entire path of a projectile, the quantity that remains unchanged is

A ball is projected with a velocity of $10 \ m/s$ at an angle of $60^\circ$ with the vertical. Its speed at the highest point of its trajectory will be:

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 $g = 9.8 \ m/s^2$.

A projectile is launched with initial velocity $v_0$ at an angle $heta$ with the horizontal. If air resistance is proportional to the instantaneous velocity, which of the following quantities remains constant throughout the flight?

A particle is projected with a velocity such that its range on the horizontal plane is twice the greatest height attained by it, The range of the projectile is (when it is acceleration due to gravity is’g’)