Final answer:
The power delivered by the engine in the given time interval is 16,650 watts (or 16.65 kilowatts).
Step-by-step explanation:
To calculate the power delivered by the engine, we can use the formula:
Power = (Force x Distance) / Time
First, we need to calculate the force. Using Newton's second law of motion:
Force = Mass x Acceleration
Given that the car has a mass of 1,500 kg and accelerates uniformly from rest to 10.0 m/s in 3.00 s, we can calculate the force.
Acceleration = Change in Velocity / Time
= (10.0 m/s - 0 m/s) / 3.00 s
= 3.33 m/s²
Force = 1,500 kg x 3.33 m/s²
= 4,995 N
Next, we can substitute the force value into the power formula.
Power = (4,995 N x 10.0 m) / 3.00 s
= 16,650 W
Therefore, the power delivered by the engine in this time interval is 16,650 watts (or 16.65 kilowatts).