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?

d = r*t = 3 m.

r * 0.3 = 3
r = 10 m/s. = Rate of speed.

To determine how fast you are driving, we can use the formula for speed, which is distance divided by time.

In this case, the distance covered by the rear of your car from the time the front passes the red light to the time the rear passes the same point is the length of your car, which is 3 meters.

The time it takes for the rear of your car to cross the same point after the front is given as 0.3 seconds.

So, the speed can be found by dividing the distance (3 meters) by the time (0.3 seconds):

Speed = Distance / Time
Speed = 3 meters / 0.3 seconds
Speed = 10 meters per second (m/s)

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