Q44 / 55 · NEST (NISER) 2012 · Physics

A hot-air balloon is rising vertically with a constant velocity of $10 \mathrm{~m} / \mathrm{sec}$. An object is dropped from the balloon when it is 60 m above the ground. The angle of elevation of the Sun is $45^{\circ}$. When the falling object is 33.75 m from the ground, the rate at which the shadow of the object is traveling along the ground is (take $g=10 \mathrm{~m} / \mathrm{sec}^2$ )

  • A
    $15 \mathrm{~m} / \mathrm{sec}$.
  • B
    $20 \mathrm{~m} / \mathrm{sec}$.
  • Correct answer
    C
    $25 \mathrm{~m} / \mathrm{sec}$.
  • D
    $30 \mathrm{~m} / \mathrm{sec}$.

Hence, the correct answer is option: 'C'.

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