Question

A body is fired vertically upward. At half the maximum height, the velocity of the body is 10 m/s. The maximum height raised by the body is​

Answer 1

Given :

At half the maximum height,

Velocity of the body = 10m/s

To find :

The maximum height raised by the body

Solution :

The maximum vertical displacement from ground about which its velocity is zero is called its maximum height.

$\boxed{ \bf H_{max} = \dfrac{u^2}{2g}}$

here,

• H denotes maximum height
• u denotes velocity
• g denotes gravity

The maximum height of the body,

$: \implies{ \sf H_{max} =2 \times \dfrac{u^2}{2g}}$

$: \implies{ \sf H_{max} =2 \times \dfrac{10^2}{2(10)}}$

$: \implies{ \sf H_{max} =2 \times \dfrac{100}{20}}$

$: \implies{ \sf H_{max} = \dfrac{100}{10} }$

$: \implies \underline{ \boxed{ \purple{ \sf H_{max} = 10 \: m}}}$