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toesockshoe
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Homework Statement
2. 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.
b. the distance it has fallen relative to the elevator shaft.
Homework Equations
y=yinitial+vt+1/2at2
The Attempt at a Solution
assuming that elevator starts at bottom of shaft and y=0 is at bottom of shaft.
a) y value of bolt has to equal the y value of the elevator.
BOLT EQUATION:
y = 9+8t-(1/2)gt^2
FLOOR OF ELEVATOR EQUATION:
y=8t+2t^2
set bolt and floor equation equal to each other to get t = 1.14 seconds.
b) delta y of bolt respect to shaft = 8t -1/2gt^2
plug in 1.14 for t to get 2.75 meter increase?
please tell me if i am going wrong and where...