Ms. Lawrence rode her bike up a hill at 8 miles per hour. She rode her bike down the hill at 16 miles per hour. What is the best prediction of her kinetic energy? KE= 1/2 mv^2
A. She had 4 times the kinetic energy going downhill as she d going uphill.
B. She had half the kinetic energy going downhill as she had going uphill.
C. She had the same amount of kinetic energy going uphill and downhill.
D. She had 2 times the kinetic energy going downhill as she had going uphill.
The kinetic energy is given by KE = 1/2 mv^2, where m is the mass and v is the velocity.
Since the mass is not given, we cannot determine the exact values of the kinetic energy. However, we can compare the kinetic energies based on the given velocities.
The ratio of the kinetic energies going uphill to downhill is (8^2)/(16^2) = 1/4.
Thus, the best prediction is that Ms. Lawrence had 4 times the kinetic energy going uphill as she had going downhill.
Therefore, the answer is:
A. She had 4 times the kinetic energy going downhill as she had going uphill.