Question

Which of the following sets of displacements might be capable of bringing a car
to its returning point?
(A) 5, 10, 30 and 50 km (B) 5, 9, 9 and 16 km
(C) 40, 40, 90 and 200 km (D) 10, 20, 40 and 90 km

Answer 1

Displacement:

Explanation:

Let the car is traveling through points A, B, C, D.

The displacement of a car might be capable of bringing a car to its returning point when the sum of the first three points is greater than or equal to the value of point four.

i.e. the displacement of a car is zero when

A + B +C ≥ D

For points 5 Km, 9 Km, 9 Km & 16 Km;

5 + 9 + 9  ≥  16

23 ≥ 16

Hence for the points 5 Km, 9 Km, 9 Km & 16 Km the displacement of a car is zero that is equal o returning to its original point.

The correct option is b.