Question

Covert 45km/h into m/s

Answer 1

Answer: 12.5 m/s

Work Shown:

`45\text{ km}/\text{hr} = \frac{45\text{ km}}{1\text{ hr}}\\\\=\frac{45\text{ km}}{1\text{ hr}}*\frac{1000\text{ m}}{1\text{ km}}*\frac{1\text{ hr}}{60\text{ min}}*\frac{1\text{ min}}{60\text{ sec}}\\\\=\frac{45*1000*1\text{ m}}{1*1*60*60\text{ sec}}\\\\=\frac{45000\text{ m}}{3600\text{ sec}}\\\\=12.5 \text{ m}/\text{s}\\\\`

Pay close attention to how the conversion fractions are set up on the second line. This placement is done specifically to have the units of "km", "hr", and "min" cancel out. The goal is to be left with "meters" up top and "seconds" down below.