Question

Find the velocity of a 50kg skier that is going down a 8m hill

Answer 1

12.5 m/s

Step-by-step explanation:

Your post omits some key assumptions needed to solve it:

I will assume you want the speed of the skier at the BOTTOM of the hill

I will also assume no effect from friction

THEN the skier's POTENTIAL energy (at the top of the hill) = mgh

all of this PE is converted to Kinetic Energy (1/2 mv^2)at the bottom of the hill

mgh = 1/2 mv^2

2gh = v^2

v = sqrt ( 2 g h ) = sqrt ( (2 * 9.81 * 8) = 12.5 m/s

(note that the mass, 50 kg, is irrelevant )