Dina has a mass of 50 kilograms and is waiting at the top of a ski slope that's 5.0 meters high.

The maximum velocity she can reach when she skis to the bottom of the slope is meters/second.

Use PE = m * g * h, g = 9.8 m/s2, and. Ignore air resistance and friction.

All of Dina's potential energy Ep is converted into kinetic energy Ek so Ep=Ek, where Ep=m*g*h and Ek = (1/2) * m*v². m is the mass of Dina, h is the height of ski slope, g=9.8 m/s² and v is the maximal velocity.

So we solve for v:

m*g*h = (1/2) * m*v², masses cancel out,

g*h = (1/2) * v², we multiply by 2,

2*g*h=v² and take the square root to get v

√ (2*g*h) = v, we plug in the numbers and get:

v=9.9 m/s.

So Dina's maximum velocity on the bottom of the ski slope is v=9.9 m/s.