Given the data in this table, at which height will the diver have more kinetic energy once she makes her dive? Include the following terms in your response: kinetic energy, height, velocity and mass.
Height (m) 3, 7.5
Mass (kg) 60, 60
Velocity (m/s) 4, 5.5
To calculate the kinetic energy, we need to use the formula KE = 0.5 * mass * velocity².
At a height of 3m:
Mass = 60kg
Velocity = 4m/s
KE = 0.5 * 60kg * (4m/s)²
KE = 0.5 * 60kg * 16m²/s²
KE = 0.5 * 960kgm²/s²
KE = 480kgm²/s²
At a height of 7.5m:
Mass = 60kg
Velocity = 5.5m/s
KE = 0.5 * 60kg * (5.5m/s)²
KE = 0.5 * 60kg * 30.25m²/s²
KE = 0.5 * 1815kgm²/s²
KE = 907.5kgm²/s²
Comparing the two values, the diver will have more kinetic energy at a height of 7.5m.