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A bus starts from rest with a constant acceleration of 5 m/s². At the same time a car travelling with a constant velocity 50 m/s overtakes and passes the bus. How fast is the bus travelling when they are side by side?

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100m/s

50m/s

10m/s

answer is C.

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Detailed Solution

When the bus and car are side by side,

$\frac{1}{2} \times 5 \times t^{2} = 50 \times t \Rightarrow t = 20 s$

So, at t=20s the speed of the bus is given by $v = 5 t = 100 m / s$

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