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A man is 10m behind the bus stop when th...

A man is 10m behind the bus stop when the bus left the stop, with an acceleration of `2m//s^(2)` . What should be the minimum uniform speed of man so that he may catch the bus? If he runs with required minimum speed then how much time it will take to catch the bus?

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AI Generated Solution

To solve the problem step by step, we will analyze the motion of both the man and the bus and derive the necessary equations. ### Step 1: Understand the motion of the bus The bus starts from rest with an acceleration of \( a = 2 \, \text{m/s}^2 \). The distance covered by the bus after time \( t \) can be calculated using the second equation of motion: \[ x = ut + \frac{1}{2} a t^2 \] Since the initial velocity \( u = 0 \) (the bus starts from rest), the equation simplifies to: ...
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