What is the total distance covered by a car moving at a velocity of 30 m/s when it encounters a 12-second red light delay every 200 meters? Calculate the answer in meters (m).

To calculate the total distance covered by the car, we need to consider two scenarios: when the car is moving and when the car is stopped at the red light.

First, let's calculate the distance covered by the car while it is moving. We need to determine the time it takes for the car to reach the red light.

To find the time, we can use the formula:
time = distance / velocity.

Given that the distance to the first red light delay is 200 meters and the velocity of the car is 30 m/s, we can plug these values into the formula as follows:
time = 200 meters / 30 m/s = 6.67 seconds.

So, it takes approximately 6.67 seconds for the car to reach the first red light.

Next, let's calculate the distance covered by the car while it is moving at a constant velocity.

To find the distance, we can use the formula:
distance = velocity × time.

Given that the velocity of the car is 30 m/s and the time to reach the red light is 6.67 seconds, we can calculate the distance as follows:
distance = 30 m/s × 6.67 seconds = 200.1 meters.

Therefore, the car covers a distance of approximately 200.1 meters before encountering the first red light.

Now, let's calculate the distance covered while the car is stopped at the red light. We know that the red light delay lasts for 12 seconds.

Therefore, the car is stationary for 12 seconds and does not cover any distance.

Finally, to find the total distance covered by the car, we add the distance covered while moving to the distance covered while stopped:

Total distance = Distance covered while moving + Distance covered while stopped

Total distance = 200.1 meters + 0 meters = 200.1 meters.

Hence, the total distance covered by the car is approximately 200.1 meters.