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
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.
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Given: vA = 10 m/s, vB = 6 m/s,
To find: (i) Velocity of A relative to B (vA – vB)
(ii) Velocity of B relative to A (vB – vA)
Formulae: (i) vAB = vA – vB
(ii) vBA = vB – vA
Calculation: From formula (i),
vAB = 10 – 6 = 4 m/s
From formula (ii),
vBA = 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.
∴ vAB = 4 m/s, vBA = -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.
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