An elevator is accelerating upward at a rate of 6ft/sec^2 when a bolt from its ceiling falls to the floor of the lift at distance 9.5ft. the time taken by the falling bolt to hit the floor is (take g=32ft/sec^3)?

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Answer 1 · 2017-07-02T09:05:37

See below.

Calling

#alpha# the elevator/referential acceleration
#g# gravity acceleration.
#Delta t# elapsed time before landing.
#h# floor distance.

we have

#1/2(alpha+g)(Delta t)^2 = h# so

#Delta t = sqrt((2h)/(alpha+g))#