I'm driving along at a constant speed in my 3 meter long car when I notice that I am accidentally driving through a red light. If the rear of my car passes under the light 0.3 seconds after the front of my car, how fast am I driving in m/s?

3/ 0.3 = 10 m/s

To determine your driving speed in meters per second, we can use the formula:

Speed = Distance / Time

We know that the length of your car is 3 meters. Since the rear of your car passes under the light 0.3 seconds after the front, we can consider this time difference as the "reaction time." Therefore, the time taken for your car to pass the light completely is 0.3 seconds + reaction time.

Now, we need to calculate the distance traveled by your car during this time. To do this, we need to know the distance between your car's front and rear wheels, as well as the distance from the front of your car to your eyes. Let's assume that these distances are negligible compared to the length of your car.

So, the distance traveled by your car during 0.3 seconds + reaction time is 3 meters.

Plugging in these values into the formula:

Speed = Distance / Time
= 3 meters / (0.3 seconds + reaction time)

Since the only given information is the time it takes for the rear of your car to pass the light after the front, we need to calculate the reaction time first. For simplicity, let's assume the reaction time is 0 seconds (instantaneous reaction time).

Now, we can calculate your speed:

Speed = 3 meters / (0.3 seconds + 0 seconds)
= 3 meters / 0.3 seconds
= 10 meters per second (m/s)

Therefore, you are driving at a speed of 10 meters per second (m/s).