Final answer:
The angular velocity of the car is calculated by dividing the angular displacement of 58 degrees by the time of 15 seconds, resulting in an angular velocity of 58/15 degrees/s. Thus, the correct answer is D) 58/15 degrees/s.
Step-by-step explanation:
The question is asking to calculate the angular velocity of a car given the angular displacement and the time it takes for the car to cover that displacement.
Angular velocity is defined as the rate of change of angular displacement and is given by the formula:
Angular velocity (ω) = Δθ / Δt
Where Δθ is the angular displacement and Δt is the time interval.
In this scenario, the angular displacement (Δθ) is 58 degrees and the time interval (Δt) is 15 seconds. To find the angular velocity in degrees per second, we simply divide the angular displacement by the time:
ω = 58 degrees / 15 seconds = 58/15 degrees/s
Therefore, the answer is D) 58/15 degrees/s.