Final answer:
To convert the speed from 33.0 m/s to km/h, multiply by 3.6 resulting in 118.8 km/h. This speed exceeds the 90 km/h speed limit.
Step-by-step explanation:
If a car is traveling at a speed of 33.0 m/s, we can convert this speed to kilometers per hour (km/h) by using the conversion factor that 1 m/s is equivalent to 3.6 km/h. This factor comes from the fact that there are 1000 meters in a kilometer and 3600 seconds in an hour (1000 meters divided by 3600 seconds equals 1 km/3600s, which simplifies to 1 m/s equals 3.6 km/h).
To convert 33.0 m/s to km/h, we multiply by this conversion factor:
33.0 m/s × 3.6 km/h per m/s = 118.8 km/h.
When checking whether this speed is exceeding a 90 km/h speed limit, we can see that 118.8 km/h is indeed higher than the speed limit, so the car is exceeding the limit.
Always remember to check the significant figures. Because each value given in the problem has three significant figures, our answer should also maintain three significant figures, which aligns with our answer of 118.8 km/h.