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Motion In Straight Line

Question
CBSEENPH11026346

A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12 m/s2. Find the displacement of the block during the first 0.2 s after the start. (Take, g = 10 m/s2)

  • 30 cm

  • zero

  • 20 cm

  • 25 cm

Solution

C.

20 cm

The acceleration (downward) of the elevator is 12 m/s2 which is greater than gravitational acceleration g. So, the block will act as a freely falling body.

From the motion of the block

      s = ut + 12 gt2

          = 0 × t + 12 × 10 × (0.2)2

           = 12 × 10 × 0.2 × 0.2

        s = 20 cm