Sure, let's solve the problem step-by-step to find the average velocity of the body over the given time period.
1. Determine the Distance Travelled:
The problem states that the body travels [tex]\( 108 \)[/tex] km.
2. Convert Time to Hours:
The time given is [tex]\( 7 \frac{1}{3} \)[/tex] hours. This can be converted to a single fraction or a decimal for easier calculation:
[tex]\[
7 \frac{1}{3} = 7 + \frac{1}{3}
\][/tex]
In decimal form, [tex]\(\frac{1}{3}\)[/tex] is approximately [tex]\(0.3333\)[/tex]. So,
[tex]\[
7 + 0.3333 = 7.3333 \text{ hours}
\][/tex]
3. Calculate the Average Velocity:
The formula for average velocity is given by:
[tex]\[
\text{Average Velocity} = \frac{\text{Total Distance}}{\text{Total Time}}
\][/tex]
Substituting the values from the problem:
[tex]\[
\text{Average Velocity} = \frac{108 \text{ km}}{7.3333 \text{ hours}}
\][/tex]
[tex]\[
\text{Average Velocity} = 14.727272727272728 \text{ km/h}
\][/tex]
So, the average velocity of the body is approximately [tex]\( 14.73 \text{ km/h} \)[/tex].
