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 ?

Options

A. `xlt 0, upsilon lt 0, a gt 0`
B. `x gt 0, upsilon lt 0, a lt 0`
C. `x gt 0, upsilon lt 0, a lt 0`
D. `x gt 0, upsilon gt 0, a lt 0`

Answer

A

Explanation

As the lift is coming in downwatrd directions displacement will be negative. We have to see whether the motion is accelerating or retarding. We know that due to downward motion, displacement will be negative. When the lift reaches 4th floor and is about to stop hence, motion is retarding in nature hence, `x lt 0, a gt 0`. As displacement is in negative direction, velocity will also be negative i.e., `upsilon lt 0`. This can be shown on the adjacent graph.