Answer:
1008.33 W.
Explanation:
Power: This can be defined as the rate at which energy is consumed or dissipated. The S.I unit of power is Watt (W).
P = E/t.......................... Equation 1
Where P = Energy, E = Energy, t = time.
But from the question,
E = 1/2mΔv²................... Equation 2
where m = mass of the sprinter, Δv = change in velocity of the sprinter = final velocity - initial velocity.
Substitute equation 2 into equation 1
P = 1/2mΔv/t....................... Equation 3
Given: m = 50 kg, Δv = 11-0 = 11 m/s, t = 3.0 s.
Substitute into equation 3
P = 1/2(50)(11)²/3
P = 25(121)/3
P = 1008.33 W.
Thus the power output = 1008.33 W.
