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Derivation of Position-Velocity Relation by Graphical Method

The following...

Question

The following graph shows the variation of velocity of a rocket with time. Then the maximum height attained by the rocket is

A

1.1 km

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B

5 km

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C

55 km

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D

None of these

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Solution

The correct option is C 55 km
Maximum height of $v - t$ graph $=$ Area under $v - t$
$\Rightarrow$ Maximum height of rocket $= \frac{1}{2} \times 110 \times 1000 m / s = 55000 m = 55 k m$

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Derivation of Position-Velocity Relation by Graphical Method

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