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A rocket is fired vertically up from the...

A rocket is fired vertically up from the ground and it ascends with a resultant acceleration of `10 m//s^(2)`. The fuel of the rocket is finished 1 minute after firing. The velocity (v) versus height (h) graph for entire journey is: `(g = 10 m//s^(2))`

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

`bar(AB) = (1)/(2) g t^(2)= 5 xx 60 xx 60m = 18km`
`bar(BC) = ((600) (600))/(20) = 18km, bar(AC) = 36km`

`v^(2) = {{:(+0.02h, 0 le h le 18km),(-0.02(h-36), 18km le h le 36km),(+0.02 (36-h), 36km ge h ge 0km):}`
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Knowledge Check

  • A rocket is fired vertically upwards and moves with net acceleration of 10 m//s^(2) . After 1 min the fuel is exhausted. The time taken by it to reach the highest point after the fuel is exhausted will be:

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