Question

A flea jumps straight up to a maximum height of 0.400 m . what is its initial velocity v0 as it leaves the ground?

Answer 1

For an object`s motion, the Kinematic equation is,

$v^2=v_{0}^2+2ah  $

Here, v is the final velocity and h is stands for the height of the object and a is the acceleration of the object.

As according to question,

$v=0m/s,a=g-9.8 m/s^2$ and $h = 0.400 m$

Thus, putting these values in above equation, we get

$0= v_{0}^2 -2gh$

or

$v_{0} =\sqrt{2 \times 9.8 \times 0.400 }  $

$v_{0} = 2.8 m/s$

Therefore, initial velocity is 2.8 m/s