Question

An ant travels a distance of $8cm$ from P to Q and then moves a distance of $6cm$ at right angles to PQ. Find its resultant displacement.

Answer 1

Given Data:

An act travels a distance from P to Q, $=8cm$

Distance travel from Q to S, $=6cm$

Step 1: Displacement:

From the Pythagoras theorem we can calculate the shortest path between P and S,

${PS}^2={PQ}^2+{QR}^2$

$P{S}^2=8^2+6^2$

$PS=\sqrt{64+36}=\sqrt{100}=10cm$

Hence the resultant displacement is 10 cm