List of top Physics Questions on speed and velocity asked in Indian Institute Of Technology Joint Admission Test for MSc

Rain is falling vertically with a speed of 40 $m s^{-1}$. Wind starts blowing with a speed of 16 $m s^{-1}$ in the west to east direction. How should a person, who is standing, hold his umbrella to avoid getting wet?

A man throws a ball vertically up in the air with an initial velocity v₁ such that it reaches a height of 12 m with a speed of 12 m/s. If he throws the same ball vertically up with an initial velocity v such that it reaches a maximum height of 12 m. Calculate v₁/v₂ (up to 2 decimal places).