# 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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