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COMEDK2019PhysicsMotion in One Dimension

A balloon is rising vertically up with a velocity of 29 ~ms ⁻¹ , A stone is dropped from it and it reaches the ground in 10 ~s . The height of the balloon when the stone was dropped from it is (g=9.8 ~ms ⁻² )

Options

  1. A100 ~m
  2. B200 ~m
  3. C400 ~m
  4. D150 ~m

Correct answer

B. 200 ~m

Step-by-step solution

Civen, velocity of the balloon =29 ~ms ⁻¹ When the stone is dropped, then the velocity of the stone u=29 ~ms ⁻¹ Time taken to reach the ground, t=10 ~s From the second equation of motion, aligned s &=-u t+ 1 2 g t² &=-29 10+ 1 2 9.8 (10)² &=-290+490=200 ~m aligned

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