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The speed of a car is 54km/hr. What is i...

The speed of a car is 54km/hr. What is its speed in m/sec?

A

15m/sec

B

19.44m/sec

C

194.4m/sec

D

150m/sec

Text Solution

AI Generated Solution

The correct Answer is:
To convert the speed of a car from kilometers per hour (km/hr) to meters per second (m/sec), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the speed in km/hr**: The speed of the car is given as 54 km/hr. 2. **Convert kilometers to meters**: We know that 1 kilometer is equal to 1000 meters. Therefore, to convert kilometers to meters, we multiply by 1000. \[ 54 \text{ km} = 54 \times 1000 \text{ m} = 54000 \text{ m} \] 3. **Convert hours to seconds**: There are 3600 seconds in one hour (60 seconds in a minute and 60 minutes in an hour). \[ 1 \text{ hour} = 60 \text{ minutes} \times 60 \text{ seconds/minute} = 3600 \text{ seconds} \] 4. **Calculate the speed in m/sec**: To find the speed in meters per second, we divide the distance in meters by the time in seconds. \[ \text{Speed in m/sec} = \frac{54000 \text{ m}}{3600 \text{ sec}} \] 5. **Simplify the fraction**: \[ \frac{54000}{3600} = 15 \text{ m/sec} \] ### Final Answer: The speed of the car in meters per second is **15 m/sec**. ---
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