Question

1. convert the following to si units: a. 9.12 μs b. 3.42 km c. 44 cm/ms d. 80 km/hour

Explanation:

Step1: Recall SI unit of time

The SI unit of time is the second (s). Since $1\ \mu s = 10^{- 6}\ s$, for $9.12\ \mu s$, we multiply by the conversion factor.
$9.12\times10^{-6}\ s$

Step2: Recall SI unit of length

The SI unit of length is the meter (m). Since $1\ km=1000\ m$, for $3.42\ km$, we multiply by 1000.
$3.42\times1000 = 3420\ m$

Step3: Convert cm to m and ms to s

$1\ cm = 10^{-2}\ m$ and $1\ ms=10^{-3}\ s$. So for $44\ cm/ms$, we have $44\times\frac{10^{- 2}\ m}{10^{-3}\ s}=440\ m/s$

Step4: Convert km to m and hour to s

$1\ km = 1000\ m$ and $1\ hour = 3600\ s$. For $80\ km/hour$, we calculate $80\times\frac{1000\ m}{3600\ s}=\frac{80000}{3600}\ m/s=\frac{200}{9}\ m/s\approx22.2\ m/s$

Answer:

a. $9.12\times10^{-6}\ s$
b. $3420\ m$
c. $440\ m/s$
d. $\frac{200}{9}\ m/s\approx22.2\ m/s$