An elevator ascends an upward acceleration of 0.2 m/s2. At the instant it upwards speed in 3m/sec a loose bolt 5 m high form the floor drops from the ceiling of the elevator.Find the time until the bolt strikes the floor and the displacement it has fallen .

Explanation

Initail velocity of bolt relative to the floor of elevator=0
acceleration of bolt relative
to the floor of the elevator=(9.8+0.2)`=10ms^(2)`
If t is time of the desent then `5=(1)/(2)xx10xxt^(2)`
`therefore` t=1 second .If s is the displacement then
`s=-ut+(1)/(2)"gt"^(2)" "S=-3(1)+(1)/(2)(9.8)(1)^(2)`
`therefore`s=1.9m