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BITSAT 2017
Exam
BITSAT
Year
2017
Subject
Physics
Chapter
Motion in One Dimension

BITSAT 2017 · Physics · Motion in One Dimension

An aeroplane is flying in a horizontal direction with a velocity u...

An aeroplane is flying in a horizontal direction with a velocity uu and at a height of 2000m2000m. When it is vertically below a point AA on the ground a food packet is released from it. The packet strikes the ground at point BB. If AB=3kmAB = 3km and g=10ms−2g = 10ms^{- 2}, then the value of uu isAn aeroplane is flying in a horizontal direction with a velocity u and at a height of 2000m . When it is vertically

Options

  1. A54kmh−154kmh^{- 1}
  2. B540kmh−1540kmh^{- 1}
  3. C150kmh−1150kmh^{- 1}
  4. D300kmh−1300kmh^{- 1}

Correct answer

B. 540kmh−1540kmh^{- 1}

Step-by-step solution

Given R=3km=3000mR = 3km = 3000m

An aeroplane is flying in a horizontal direction with a velocity u and at a height of 2000m . When it is vertically

Range, R=u2hgR = u\sqrt{\dfrac{2h}{g}}

⇒u=Rg2h⇒ u = R\sqrt{\dfrac{g}{2h}} or u=3000×102×2000u = 3000 \times \sqrt{\dfrac{10}{2 \times 2000}}

=3000×120= 3000 \times \dfrac{1}{20}

=150ms−1= 150ms^{- 1}

=150×185kmh−1= 150 \times \dfrac{18}{5}kmh^{- 1}

=540kmh−1= 540kmh^{- 1}

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