Question

a car covers a distance of 112.6 km in 1.8 h. what is its speed in meters per second?
a) 17.5 m/s
b) 63 m/s
c) 17 m/s
d) 1.04 m/s

Explanation:

Step1: Convert distance to meters

We know that \(1\ km = 1000\ m\), so for a distance of \(112.6\ km\), we convert it to meters by multiplying by \(1000\).
\[112.6\ km\times1000=\ 112600\ m\]

Step2: Convert time to seconds

We know that \(1\ h=3600\ s\), so for a time of \(1.8\ h\), we convert it to seconds by multiplying by \(3600\).
\[1.8\ h\times3600 = 6480\ s\]

Step3: Calculate speed

Speed is given by the formula \(v=\frac{d}{t}\), where \(d\) is distance and \(t\) is time. Substituting the values of \(d = 112600\ m\) and \(t=6480\ s\) into the formula:
\[v=\frac{112600}{6480}\approx17.5\ m/s\]

Answer:

A) 17.5 m/s