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While a train is travelling from rest to...

While a train is travelling from rest to the next station, its disatnce x km from start in t hours is given by, x = `90t^(2)-45t^(3)`.
Find its velocity and acceleration after 6 minutes.

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The correct Answer is:
`16(13)/(20)km//h and 153 km//h^(2)`
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