Question

A cyclist Travels a distance of 4 km from P to Q and then moves a distance of 3 km at right angles to PQ. Find the resultant displacement graphically

Answer 1

Given,

4 km from A to B

3 km at right angles to AB

The figure of the given situation

Displacement is the straight line distance between the initial and final position

So,

From the Pythagoras theorem

$PR=\sqrt{{PQ}^2+{QR}^2}$

Putting all the values

$PR=\sqrt{4^2+3^2}$

After solving

PR = 5 km

Hence the displacement is 5 km