Question

An ant travels a distance of 8cm from p to q and then moves a distance of 6 cm at right angle to pq . Find the magnitude of its resultant displacement

Answer 1

displacement is 10 cm

Answer 2

Answer:

Resultant displacement, PR = 10 cm

Explanation:

It is given that, An ant travels a distance of 8 cm from p to q and then moves a distance of 6 cm at right angle to pq. We have to find the magnitude of resultant displacement.

The shortest path travelled by the particle is called resultant displacement. It is the difference between the final position and the initial position.

In right angle triangle as shown in attached figure, the resultant displacement is given by side PR.

Using Pythagoras theorem,

$PR^2=RQ^2+PQ^2$

$PR^2=8^2+6^2$

$PR=10\ cm$

The resultant displacement is 10 cm. Hence, this is the required solution.