Question

a car covers a semicircular track of radius 5 m with a constant speed of pie m/s. find the magnitude displacement and average velocity​

Answer 1

Given:

A car covers a semicircular track of radius 5 m with a constant speed of π m/s.

To find:

• Displacement
• Average Velocity

Calculation:

Displacement is the shortest length between the starting and stopping point of the object.

• So, for semi-circular trajectory, the displacement will be equal to the diameter of the semi-circle.

So, displacement is 2r = 2 × 5 = 10 metres.

• Let average velocity be v:

$\rm \: v = \dfrac{total \: displacement}{total \: time}$

$\rm \implies \: v = \dfrac{10}{( \dfrac{distance}{speed} )}$

$\rm \implies \: v = \dfrac{10}{( \dfrac{\pi \times 5}{\pi} )}$

$\rm \implies \: v = 2 \: m {s}^{ - 1}$

So, average velocity is 2 m/s.