Final answer:
The change in kinetic energy as a horse accelerates from canter to gallop is calculated using the formula for kinetic energy and is found to be 18,900 Joules.
Step-by-step explanation:
To calculate the change in kinetic energy as a horse accelerates from a canter to a gallop, we use the expression given by the Kinetic Energy equation KE = ½ * m * (v²- u²), where m is the mass of the object, v is the final velocity, and u is the initial velocity. In this case, the mass m is 350 kg, the final velocity v is 12 m/s, and the initial velocity u is 6 m/s.
Plugging in the values we get:
- ½ * 350 kg * (12 m/s)² - ½ * 350 kg * (6 m/s)²
- 175 kg * (144 m²/s² - 36 m²/s²)
- 175 kg * 108 m²/s²
- 18,900 J
Therefore, the change in kinetic energy as the horse accelerates from canter to gallop is 18,900 Joules.