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(a) What is the difference between ‘distance travelled’ by a body and its ‘displacement’ ? Explain with thehelp of a diagram.
(b) An ant travels a distance of $8\ cm$ from P to Q and then moves a distance of $6\ cm$ at right angles to PQ. Find its resultant displacement.
(a). Distance is the length between two points. It is always a positive quantity. It is the total length traveled. For example, in the following figure if a person traveled from P to R through Q then the total distance traveled by the person is 8 + 6 = 14 units.
Displacement is the smallest distance between two points. For example, in the following figure if a person traveled from P to R through Q then the displacement is the length between P and R, which is 10 units.
(b). As given, An ant is moved from $P$ to $Q$ with a distance of $8\ cm$ and then from $Q$ to $R$ a distance of $6\ cm$ at the right angle. Let the ant reaches at the point $R$.
Distance traveled by the ant at the path $PQ=8\ cm$
And $QR=6\ cm$
$PR$ is the displacement.
In right-angled $\vartriangle PQR$, using Pythagoras theorem
$PR^2=PQ^2+QR^2$
$=8^2+6^2$
$=64+36$
$=100$
Or $PR=\sqrt{100}$
Or $PR=10\ cm$
Therefore, the resultant displacement is $10\ cm$.
Updated on: 10-Oct-2022
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