Relative Motion

Question

Two cars A and B are moving with velocities 10 m/s and 20 m/s respectively in the same direction. Car A is 100 m ahead of B. What is the time taken by B to overtake A?

RankGuru · Accepted Answer

1. **Relative Velocity**: Since both move in the same direction, $v_{rel} = v_B - v_A = 20 - 10 = 10	ext{ m/s}$.
2. **Relative Distance**: The distance between them is $d = 100	ext{ m}$.
3. **Time to overtake**: $t = \frac{	ext{Relative Distance}}{	ext{Relative Velocity}} = \frac{100}{10} = 10	ext{ s}$.
4. **Conclusion**: It will take 10 seconds for Car B to catch up to Car A.

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