A car is traveling at a speed of 38.0 m/s on an interstate highway where the speed limit is 75.0 mi/h. Is the driver exceeding the speed limit?
To determine if the driver is exceeding the speed limit, we need to convert the speed limit from miles per hour (mi/h) to meters per second (m/s).
First, let's convert the speed limit from mi/h to m/s.
1 mile = 1609.34 meters (approximately)
1 hour = 3600 seconds (exactly)
Speed limit in m/s = (75.0 mi/h) * (1609.34 m/1 mi) / (3600 s/1 h) = 33.53 m/s (approximately)
Now, we can compare the car's speed with the speed limit. If the car's speed is greater than the speed limit, the driver is exceeding the speed limit.
Car's speed = 38.0 m/s
Speed limit = 33.53 m/s
Since the car's speed of 38.0 m/s is higher than the speed limit of 33.53 m/s, the driver is indeed exceeding the speed limit.