# Question 8466e

Sep 26, 2016

$118 \text{km"/"hr} = 118 \times \frac{1 k m}{1 h r}$

$= 118 \times \frac{1000 m}{60 \times 60 s}$

$= \frac{118 \times 1000}{60 \times 60} \frac{m}{s}$

$\approx 32.7 \text{m/s}$

Sep 26, 2016

$\text{118 km/h=37.8 m/s}$ to three significant figures

#### Explanation:

First identify the equalities.

$\text{1 km=1000 m}$

$\text{1 h=3600 s}$

Multiply 118 km/h by the equalities in such a way as to cancel km/h, leaving m/s.

(118cancel"km")/(1cancel"h")xx(1000"m")/(1cancel"km")xx(1cancel"h")/(3600"s")="32.777...m/s"#$=$$\text{37.8 m/s}$ (rounded to three significant figures)