A car moving at a speed 10 m/s on a straight road is ahead of car B m

1.	A car moving at a speed 10 m/s on a straight road is ahead of car B moving in the same direction at 6 m/s. Find the velocity of A relative to B and vice-versa.
Answer» Given: v_A = 10 m/s, v_B = 6 m/s, To find: (i) Velocity of A relative to B (v_A – v_B) (ii) Velocity of B relative to A (v_B – v_A) Formulae: (i) v_AB = v_A – v_B (ii) v_BA = v_B – v_A Calculation: From formula (i), v_AB = 10 – 6 = 4 m/s From formula (ii), v_BA= 6 – 10 = -4 m/s -ve sign indicates that driver of car A sees the car B lagging behind at the rate of 4 m/s. ∴ v_AB = 4 m/s, v_BA= -4 m/s (i) Velocity of A relative to B is 4 m/s. (ii) Velocity of B relative to A is -4 m/s.

A car moving at a speed 10 m/s on a straight road is ahead of car B moving in the same direction at 6 m/s. Find the velocity of A relative to B and vice-versa.

Answer»

Given: v_A = 10 m/s, v_B = 6 m/s,

To find: (i) Velocity of A relative to B (v_A – v_B)

(ii) Velocity of B relative to A (v_B – v_A)

Formulae: (i) v_AB = v_A – v_B

(ii) v_BA = v_B – v_A

Calculation: From formula (i),

v_AB = 10 – 6 = 4 m/s

From formula (ii),

v_BA= 6 – 10 = -4 m/s -ve sign indicates that driver of car A sees the car B lagging behind at the rate of 4 m/s.

∴ v_AB = 4 m/s, v_BA= -4 m/s

(i) Velocity of A relative to B is 4 m/s.

(ii) Velocity of B relative to A is -4 m/s.