Given:
The cyclist starts from A and reaches F.
The whole trip takes time,
[tex]t=30\text{ s}[/tex]
To find:
c) The average speed
d) The average velocity
Explanation:
c) The average speed is,
[tex]Avg.\text{ Speed=}\frac{Total\text{ distance}}{Total\text{ time}}[/tex]
The total distance is,
[tex]\begin{gathered} A\text{ to B +B to C+C to D+ D to E+E to F} \\ =3\text{ unit+2 unit+4 unit+2 unit+1 unit} \\ =12\text{ units} \\ =12\times10\text{ m} \\ =120\text{ m} \end{gathered}[/tex]
The average speed is,
[tex]\begin{gathered} \frac{120}{30} \\ =4\text{ m/s} \end{gathered}[/tex]
Hence, the average speed is 4 m/s.
d)
The average velocity is,
[tex]\begin{gathered} Avg.\text{ velocity=}\frac{Total\text{ displacement}}{Total\text{ time}} \\ \end{gathered}[/tex]
The displacement is,
[tex]\begin{gathered} A\text{ to F} \\ =4\text{ units} \\ =4\times10\text{ m} \\ =40\text{ m} \end{gathered}[/tex]
The average velocity is,
[tex]\begin{gathered} \frac{40}{30} \\ =1.33\text{ m/s} \end{gathered}[/tex]
Hence, the average velocity is 1.33 m/s.
