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An elevator is going up with an upward acceleration of 1m/s^2. At the instant when its velocity is 2m/s, a stone is projected upward from its floor with aspeed of 2m/s relative to the elevator, at an elevation of 30 degree. (1) Calculate the time taken by the stone to return to the floor. (2) If the elevator was moving with a downward acceleration= g, how would the motion be altered?

An elevator is going up with an upward acceleration of 1m/s^2. At the instant when its velocity is 2m/s, a stone is projected upward from its floor with aspeed of 2m/s relative to the elevator, at an elevation of 30 degree.


(1) Calculate the time taken by the stone to return to the floor.


(2) If the elevator was moving with a downward acceleration= g, how would the motion be altered?

Grade:

1 Answers

Prajwal kr
49 Points
8 years ago

I stand in the elevator frame and observe.

as(relative)=10-(-1)=11m/s2

Initial velocity relative to the lift:2 m/s

T=(4xsin30)/10

=0.2 sec.

 

 

Doing from ground frame motion will be a projectile only, from the elevator frame it will be a straight line.

 

 

 

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