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An elevator ascends with an upward acceleration of 4.0-ft/s 2 . At the instant its upward speed is 8.0 ft/s, a loose bolt drops from the ceiling of the elevator 9.0 ft from the floor. Calculate (a) the time of flight of the bolt from ceiling to floor and (b) the distance it has fallen relative to the elevator shaft.

An elevator ascends with an upward acceleration of 4.0-ft/s2. At the instant its upward speed is 8.0 ft/s, a loose bolt drops from the ceiling of the elevator 9.0 ft from the floor. Calculate (a) the time of flight of the bolt from ceiling to floor and (b) the distance it has fallen relative to the elevator shaft.
 

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
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Therefore, the time after which the bolt hits the elevator is 0.70 s .
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The negative sign highlights the fact that the bolt move downwards.
Therefore, the distance by which the bolt has fallen relative to elevator shaft is 2.3 ft .

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