Question

A car moves with a uniform speed of 30 kmhr^-1 in a direction 30° east of north. The relative velocity of A as observed by the driver of another moving car B is 41 kmhr^-1 along south-north direction. The veocity of car B s

(1) 15 kmhr^-1, in north-east direction

(2) 15√2 kmhr^-1 , in north-east direction

(3) 15√2 kmhr^-1 , in south-east direction

(4) 15 kmhr^-1, along north-south direction

Answer 1

(2) 15√2 kmhr^-1 , in north-east direction

Choose a co-ordinate system as shown in Fig. Given,

Let velocity of car B be

Obviously v_B = \(15\sqrt{2}\) kmhr^-1 in north-east direction.