wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure, PQR is a right angled triangle, right angled at Q. An ant travels from P to Q, covering 13 m. Then, it travels from Q to R covering 12 m. What is the distance travelled by the ant? Also, what is its displacement from the initial position?


A

Displacement: 25m , Distance: 25m

No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
B

Displacement: 25m , Distance: 5m

No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
C

Displacement: 5m , Distance: 25m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

Displacement: 5m , Distance: 5m

No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
Open in App
Solution

The correct option is C

Displacement: 5m , Distance: 25m


Distance is the length of path travelled.
Given, PR = 13 m and RQ = 12 m

Total Distance Travelled = PR + RQ = 13 + 12 = 25m

Displacement is shortest path between the initial and the final point.
Initial position is P and final position is Q and the shortest path is the line segment PQ.

We know that PQR is a right angled triangle.

Using pythagoras theorem,

PR2=PQ2+QR2
Displacement = PQ = 132122 = 5m.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Distance and Displacement
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon