a lorry is travelling at 13.5m/s along a stretch of road where the speed limit is 50 km/h
To compare the speed of the lorry (13.5 m/s) with the speed limit (50 km/h), we need to convert the units.
1 kilometer = 1000 meters
1 hour = 3600 seconds
First, let's convert the speed limit from km/h to m/s:
50 km/h = (50 * 1000) meters / (3600 seconds) = 13.89 m/s
The lorry's speed of 13.5 m/s is less than the speed limit of 13.89 m/s, so it is within the speed limit.
To determine whether the lorry is exceeding the speed limit, we need to compare its velocity to the speed limit.
First, we need to convert the speed limit from kilometers per hour (km/h) to meters per second (m/s) to have a consistent unit. Here's how you can do that:
1. Convert the speed limit from km/h to m/s by dividing it by 3.6. This is because there are 3.6 seconds in an hour (60 minutes × 60 seconds).
So, the speed limit in m/s is:
50 km/h ÷ 3.6 = 13.89 m/s (approximately)
Now, we can compare this speed limit to the lorry's velocity of 13.5 m/s.
Since the lorry's velocity (13.5 m/s) is less than the speed limit (13.89 m/s), it means the lorry is not exceeding the speed limit. The lorry is traveling within the allowed speed limit.