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COMEDK · Physics · 4. Motion In Two Dimensions

From the same point, two stones A and B are thrown simultaneously, A is thrown up vertically with a velocity of \(10\ ms^{-1}\) and B is thrown up with the same velocity at \(30^\circ\) with the horizontal. The separation between the balls at 2 s is

  1. A \(20\ \text{m}\)
  2. B \(10.5\ \text{m}\)
  3. C \(25\ \text{m}\)
  4. D \(22\ \text{m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(20\ \text{m}\)

Step-by-step Solution

Detailed explanation

Let the point of projection be the origin \((0,0)\). Position vector of stone A at time \(t\) is: \(\vec{r}_A = (10t - \dfrac{1}{2}gt^2)\hat{j}\) Position vector of stone B at time \(t\) is:…