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JEE Mains · Physics · STD 11 - 2. motion in straight line

A gas balloon is going up with a constant velocity of \(10\) m/s. When this balloon reached a height of \(75\) m, a stone is dropped from it and balloon keeps moving up with the same velocity. The height of the balloon when the stone hits the ground is ________ m. (Take \(g=10\) m/s\(^2\))

  1. A \(85\)
  2. B \(150\)
  3. C \(129\)
  4. D \(125\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(125\)

Step-by-step Solution

Detailed explanation

When the stone is dropped, it acquires the initial velocity of the balloon. Taking the upward direction as positive, the initial velocity of the stone is \(u = 10\) m/s. The displacement of the stone when it hits the ground is \(S = -75\) m, and its acceleration is…
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