A car initially traveling at 30 m/s passes a road sign located 750 meters ahead in a time of 12 seconds. When the car reaches the road sign, the driver applies the brakes and brings the car to rest at a traffic light located 900 meters ahead of the road sign. Determine the cars velocity when it reaches the road sign in m/s.

To determine the car's velocity when it reaches the road sign, we need to use the formula:

velocity = distance/time

The distance traveled by the car is 750 meters, and the time taken is 12 seconds. Therefore:

velocity = 750 meters / 12 seconds = 62.5 meters/second

Hence, the car's velocity when it reaches the road sign is 62.5 m/s.