A skateboarder with a mass of 82 kg traveling at 2.8 m/s approaches a hill and rides down it. The hill is 11 m high. Assuming a complete transformation of mechanical energy into kinetic energy, what is the skateboarder's velocity at the bottom of the hill? v f = m / s

14.9 m/s

Explanation:

At the top of the hill, the skateboarder has both kinetic energy and potential energy, so its total mechanical energy is:

where

m = 82 kg is the mass of the skateboarder

u = 2.8 m/s is the initial velocity

is the acceleration due to gravity

h = 11 m is the initial height of the skateboarder

At the bottom of the hill, all the energy has been converted into kinetic energy, so:

where

v is the final velocity of the skateboarder

Since the mechanical energy must be conserved, we can equate the two energies, and find the final velocity:

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.