An elevator without a ceiling ascends at a constant speed of

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

An elevator without a ceiling ascends at a constant speed of 10 m s−110\,\text{m s}^{-1}. A boy on the elevator shoots a ball vertically upward from a height of 2.0 m2.0\,\text{m} above the elevator floor. At that time, the elevator floor is 28 m28\,\text{m} above the ground. The initial speed of the ball relative to the elevator is 20 m s−120\,\text{m s}^{-1}. Take g=9.8 m s−2g=9.8\,\text{m s}^{-2}. (1) What maximum height above the ground does the ball reach? (2) How long does the ball take to return to the elevator floor?

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