Answer to Question #242346 in Physics for avery

Question

A flea jumps straight up to a maximum height of 0.500 m

m. What is its initial velocity v

v0v_0 as it leaves the ground?

Answer 1

Given:

$h_{\max}=0.500\:\rm m$

The maximum height

$$h_{\max}=\frac{v_0^2}{2g}$$

Hence, the initial velocity of a flea

$$v_0=\sqrt{2gh_{\max}}=\sqrt{2*9.81*0.500}=3.13\:\rm m/s$$