Final answer:
The speed of sound, when converted from 336 m/s to km/h, is 1.2096 × 10³ km/h. The conversion involves multiplying by the factor 3.6 km/h per 1 m/s and then expressing the result in scientific notation.
Step-by-step explanation:
The student has asked to convert the speed of sound, which is measured to be 336 m/s, into kilometers per hour (km/h). To do this, we multiply the speed in m/s by the conversion factor that converts meters per second to kilometers per hour. The conversion factor is:
Thus, the speed of sound in km/h is calculated as follows:
336 m/s × 3.6 km/h per 1 m/s = 1209.6 km/h
When expressing this value in scientific notation, it becomes:
1.2096 × 103 km/h
Note that we align the decimal point such that we have a number between 1 and 10 multiplied by 10 raised to the appropriate power. In this case, since we moved the decimal point three places to the left, we use 103.
Therefore, the speed of sound of 336 m/s on a certain day is 1.2096 × 103 km/h when expressed in scientific notation.