Question

each square represents 10meters. c. If the whole trip takes 30 seconds, what is the average speed of the cyclist? (2 pointsti was way.nwob friplad. If the whole trip takes 30 seconds, what is the average velocity of the cyclist?

Answer 1

Given:

The cyclist starts from A and reaches F.

The whole trip takes time,

`t=30\text{ s}`

To find:

c) The average speed

d) The average velocity

Step-by-step explanation:

c) The average speed is,

`Avg.\text{ Speed=}\frac{Total\text{ distance}}{Total\text{ time}}`

The total distance is,

`\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*10\text{ m} \\ =120\text{ m} \end{gathered}`

The average speed is,

`\begin{gathered} (120)/(30) \\ =4\text{ m/s} \end{gathered}`

Hence, the average speed is 4 m/s.

d)

The average velocity is,

`\begin{gathered} Avg.\text{ velocity=}\frac{Total\text{ displacement}}{Total\text{ time}} \\ \end{gathered}`

The displacement is,

`\begin{gathered} A\text{ to F} \\ =4\text{ units} \\ =4*10\text{ m} \\ =40\text{ m} \end{gathered}`

The average velocity is,

`\begin{gathered} (40)/(30) \\ =1.33\text{ m/s} \end{gathered}`

Hence, the average velocity is 1.33 m/s.