Question

What is the velocity of vertically projected body at its maximum height (h)?

• A. $\sqrt{2gh}$
• B. zero
• C. $\frac{h^2}{g}$
• D. $\sqrt{\frac{2h}{g}}$

Answer 1

The correct option is B zero

When particle is at maximum height it's Potential energy = $mgh$

also maximum .

But when it was at ground it's Potential energy =$0$

It means all of it's Kinetic energy at ground was converted into Potential energy at top most point so Kinetic energy at top point=$0$

$\frac{m{v}^2}{2}=0$

so$v=0$

Hence velocity at maximum height=
$0$