Question

The boy running along a circular track of radius 7m and he completes one orbit in 10 seconds. find average speed and velocity.

Answer 1

step 1: Given data:

1. Radius = 7m
2. Time taken = 10 seconds

Step 2:Finding average speed:

We know that,

Distance of circular track = Circumference of a circle.=$=2\mathrm{\pi r}$ where $\mathrm{\pi }=3.14$ and r is radius of circular track.

$=2\times 3.14\times 7\approx 44m$

Now,

$$\begin{gathered} AverageSpeed=\frac{Changeindis\tan ce}{Changeintimeinterval} \\ =\frac{44-0}{10-0}=\frac{44}{10}=4.4m/s. \end{gathered}$$

Therefore, the average speed is 4.4 m/s.

Finding average velocity:

$$\begin{gathered} Averagevelocity=\frac{Changeindisplacement}{Changeintimeinterval} \\ \mathrm{Here},Changeindisplacement=0m/s^2 \\ Averagevelocity=0m/s. \end{gathered}$$

Displacement is zero because the boy returns back to the original position he initially started.

So, the average velocity is zero.

Hence, the average speed and velocity are 4.4 m/s and 0 m/s respectively.