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An airplane takes off at an angle 30^(@)...

An airplane takes off at an angle `30^(@)` with the horizontal ground treveling at the speed of `180km//h`. If it continuous to fly with the same velocity in the same direction, how long will it take to reach an altitude of `9km` above the ground?

A

`5` minutes

B

`6` minutes

C

`8` minutes

D

`9` minutes

Text Solution

Verified by Experts

The correct Answer is:
B

Vertical component of velocity is `180xxsin30^(@)=90^(@)`
time`=(9)/(90)=(1)/(10)hr=6` minute
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