Question

The speed of sound is measured to be 342 m/s on a certain day. What is this measurement in kilometers per hour?

a) (1231.2) km/h
b) (342) km/h
c) (0.095) km/h
d) (785.4) km/h

Answer 1

The speed of sound of 342 m/s is equivalent to 1231.2 km/h when converted using the appropriate conversion factors. This is also expressed in scientific notation as 1.23 × 10³ km/h.

Step-by-step explanation:

To convert the speed of sound from meters per second (m/s) to kilometers per hour (km/h), we need to use the appropriate conversion factors. There are 1000 meters in a kilometer and 3600 seconds in an hour, so the calculation for converting 342 m/s to km/h is as follows:

1. Multiply the speed in m/s by the number of seconds in an hour (342 m/s × 3600 s/h).
2. Divide the result by the number of meters in a kilometer to get the speed in km/h.

Step-by-step calculation:

1. 342 m/s × 3600 s/h = 1,231,200 m/h.
2. 1,231,200 m/h ÷ 1000 m/km = 1231.2 km/h.

Therefore, the speed of sound of 342 m/s is equivalent to 1231.2 km/h or 1.23 × 10³ km/h in scientific notation.