Question

You hold a small metal ball of mass a height above the floor. You let go, and the ball falls to the floor. Choose the origin of the coordinate system to be on the floor where the ball hits, with up as usual.
Just after release, what are yᵢ and vᵢᵧ? Express all results in terms of m, g, and h.

Answer 1

Answer:

yᵢ = h

vᵢᵧ = 0

Explanation:

Let initial velocity = u

     final velocity = v

     height = h

     acceleration due to gravity = g

Therefore fro equation of motion,

$v^{2}=u^{2}+2gh$

Here initial velocity is zero.

Hence, $v^{2}=2gh$

$v = \sqrt{2gh}$

but since it points downward and you positive is taken in the up direction

$v = -\sqrt{2gh}$