This is a Tough one. Could ..

If a banana skin had a friction co-efficient of 0.2 and as you were walking you slip on the peel. Say your weight is 150 pounds and your speed is 3 miles per hour how high would you go, once you slip?

Physicists can fill pages and pages of equations and complications but can they answer this event that happens many times a day.

I feel sorry for Ur inconfidence in physicists.

As U have challenged physicists let's talk in their language

as in Ur example, if a person is going by the speed of 3 miles, then as he slip his 'center of mass' will have an initial velocity of 3miles/hr and it will decelerate with magnitude 0.2 X g .

if a person slip all of a sudden then he cannot gain any velocity in vertical direction (infact he can gain a velocity which is negligible and easily overcome by g.)

, because he cannot give his waist and upper body any upward velocity all of a sudden.

so overall picture of his fall is as follows if we work in the 2-D coordinate system with Y axis vertical to ground and X axis parallel to the ground.

at any instant his net displacement (of his C.M. )is given by ,

(3mile / hr) i X time + 1/2 X [(-0.2 X g) i + (-g) k ] X (time)*2.

here the i & j are unit vectors and [ *2] means squared.

and if U consider his max height as the rise of his feets then it will be only in millimeters or probably in a centimeter, reason is mentioned above.