A body is thrown vertically upward with velocity u

• GP Motion Force

A body is thrown vertically upward with velocity u, the greatest height h to which it will rise is

1. u/g
2. u²/2g
3. u²/g
4. u/2g

Answer

Initial velocity = u

Height = h

Acceleration = a = g (acceleration due to gravity)

At the highest point, final velocity becomes zero, v = 0

From third equation of motion,

v² - u² = 2gh

h = u²/2g

Here, negative sign is used because the body is moving against the gravity.

The correct option is B.