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BITSAT2017PhysicsMotion in One DimensionActual

An aeroplane is flying in a horizontal direction with a velocity u and at a height of 2000 m . When it is vertically below a point A on the ground a food packet is released from it. The packet strikes the ground at point B . If A B = 3 km and g = 10 m s - 2 , then the value of u is

Options

  1. A54   km   h - 1
  2. B540   km   h - 1
  3. C150   km   h - 1
  4. D300   km   h - 1

Correct answer

B. 540   km   h - 1

Step-by-step solution

Given R = 3   km = 3000   m Range, R = u 2 h g ⇒   u = R g 2 h or u = 3000 × 10 2 × 2000 = 3000 × 1 20 = 150   m   s - 1 = 150 × 18 5   km   h - 1 = 540   km   h - 1

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