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Speed / Velocity Time Graphs

A rocket is l...

Question

A rocket is launched upward from the earth surface whose velocity time graph is shown in the figure. Then maximum height attained by the rocket is:

A

1 k m

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B

10 k m

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C

100 k m

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D

60 k m

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Solution

The correct option is D $60 k m$
It will go upward only upto a point where $v = 0$ and it is at $120$ s
so maximum height $=$ area under $v - t$ curve
$= \frac{1}{2} \times 120 \times 1000 = 60, 000 m = 60 k m$

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