A car is traveling at a speed of 33 m/s33 m/s . (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h90 km/h speed limit?

1. Break Down the Problem

We need to convert the speed from meters per second (m/s) to kilometers per hour (km/h) and then determine if it exceeds the speed limit of 90 km/h.

2. Relevant Concepts

To convert from m/s to km/h, we can use the following conversion factor: $1 \text{ m/s} = 3.6 \text{ km/h}$

3. Analysis and Detail

(a) Conversion from m/s to km/h

• Speed in m/s: $33 \text{ m/s}$
• Using the conversion factor: $\text{Speed in km/h} = 33 \text{ m/s} \times 3.6 \text{ km/h per m/s}$ Calculating: $33 \text{ m/s} \times 3.6 = 118.8 \text{ km/h}$

(b) Checking speed limit

• Speed limit: $90 \text{ km/h}$
• Speed of the car: $118.8 \text{ km/h}$

4. Verify and Summarize

The converted speed is $118.8 \text{ km/h}$. This speed is greater than the speed limit of $90 \text{ km/h}$.

Final Answer

(a) The speed of the car in kilometers per hour is $118.8 \text{ km/h}$.
(b) Yes, it is exceeding the $90 \text{ km/h}$ speed limit.