Final answer:
The skier's kinetic energy can be calculated using the kinetic energy formula KE = 0.5 × m × v2. With a mass of 100 kg and a velocity of 15 m/s, the skier's kinetic energy is found to be 11,250 Joules.
Step-by-step explanation:
To calculate the skier's kinetic energy, we use the formula for kinetic energy which is KE = 0.5 × m × v2, where m is the mass of the object and v is the velocity. In this case, the skier has a mass of 100 kilograms and a velocity of 15 meters per second. Plugging in these values, we get KE = 0.5 × 100 kg × (15 m/s)2 = 0.5 × 100 kg × 225 (m2/s2) = 11,250 Joules. Therefore, the skier's kinetic energy is 11,250 Joules.