2016 01 Level 1 or 2?

A bus starts from rest moves with an acceleration \(1 \text{ m/ s}^{ 2 }\). A man who is \(48\text{m}\) behind the bus is running with \(10\text{ m/s}\). Calculate the minimum time (in seconds) taken by him to catch the bus.

Bonus Can you explain why there are two time instances where he can board the bus?

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