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Question: A lift is coming from 8<sup>th</sup> floor and is just about to reach 4<sup>th</sup> floor. Taking g...

A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?

A

x<0,⥂⥂v<0,⥂⥂a>0x < 0, ⥂ ⥂ v < 0, ⥂ ⥂ a > 0

B

x>0,v<0,a<0x > 0,v < 0,a < 0

C

x>0,v<0,a>0x > 0,v < 0,a > 0

D

x>0,v>0,a<0x > 0,v > 0,a < 0

Answer

x<0,⥂⥂v<0,⥂⥂a>0x < 0, ⥂ ⥂ v < 0, ⥂ ⥂ a > 0

Explanation

Solution

As lift is coming from 8th to 4th floor, it is retarding, i.e., a is acting upwards, so a > 0 and the value of x becomes less hence negative, i.e., x < 0, velocity is downwards (i.e., negative) so, v < 0.