Q37 / 46 · NTA Abhyas (JEE Main) 2020 · Physics · Motion In One Dimension

A helicopter takes off along the vertical with an acceleration a=3 m s-2 and zero initial velocity. In a certain time t1, the pilot switches off the engine. At the point of take-off, the sound dies away in time t2=30 s. Determine the velocity v of the helicopter (in m s-1) at the moment when its engine is switched off, assuming that the velocity c of sound is 320 m s-1.

Correct answer: 80

Solution

t2=t1+at122c

t1=ca2+2cat2-ca

v=at1=aca2+2ct2a-ca

=c2+2act2-c=80 m s-1

Hence, the correct answer is 80.

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