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TS EAMCET · Physics · Motion In One Dimension

A stone is dropped from a height of \(100 \mathrm{~m}\), while another one is projected vertically upwards from the ground with a velocity of \(25 \mathrm{~m} / \mathrm{s}\) at the same time. The time in seconds after which they will have the same height is (acceleration due to gravity, \(g=10 \mathrm{~ms}^{-2}\) )

  1. A 4
  2. B 5
  3. C 6
  4. D 7
Verified Solution

Answer & Solution

Correct Answer

(A) 4

Step-by-step Solution

Detailed explanation

Let stones meet after time \(t\) seconds. Then distance travelled by first stone in \(t\) seconds \(=100-h(\mathrm{~m})\) and distance travelled by Ind stone in \(t\) second is \(h(\mathrm{~m})\). So, we have For first stone, \(\quad-(100-h)=\frac{-1}{2} g t^2\) For second…
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