Final answer:
The kinetic energy of a 1.2 kg football moving at 24 m/s is 345.6 Joules, calculated using the formula KE = (1/2)mv².
Step-by-step explanation:
The kinetic energy (KE) of an object can be calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a 1.2 kg football moving at a speed of 24 m/s, the kinetic energy in Joules can be calculated as follows:
KE = (1/2) × 1.2 kg × (24 m/s)²
KE = 0.5 × 1.2 kg × 576 m²/s²
KE = 0.6 kg × 576 m²/s²
KE = 345.6 Joules
Therefore, the kinetic energy of the football is 345.6 Joules.