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An elevator ascends an upward accelerati...

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 .

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To solve the problem, we need to analyze the motion of the bolt after it drops from the ceiling of the elevator. The elevator is accelerating upwards, and we need to find the time it takes for the bolt to hit the floor of the elevator and the displacement it has fallen. ### Step-by-step Solution: 1. **Identify the initial conditions:** - The initial speed of the elevator (and the bolt) when the bolt drops is \( v_0 = 3 \, \text{m/s} \) (upwards). - The height from which the bolt drops is \( h = 5 \, \text{m} \). - The acceleration of the elevator is \( a_e = 0.2 \, \text{m/s}^2 \) (upwards). ...
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