Final answer:
The kinetic energy of an 85 lb. child falling with a velocity of 10 m/s is calculated using the formula KE = 0.5 × mass × velocity squared, resulting in 1928 joules (Option C).
Step-by-step explanation:
The kinetic energy (KE) of an object can be calculated using the formula KE = 0.5 × mass × velocity2. For an 85 lb. (38.56 kg) child falling with a velocity of 10 m/s, the kinetic energy can be determined by plugging these values into the equation:
KE = 0.5 × 38.56 kg × (10 m/s)2 = 0.5 × 38.56 × 100 = 1928 joules.
Therefore, the kinetic energy of the child is 1928 joules (Option C).