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

A ball is thrown vertically upward with an initial velocity of \(150\,m / s\). The ratio of velocity after \(3\,s\) and \(5\,s\) is \(\frac{x+1}{x}\). The value of \(x\) is \(...........\) Take \(\left(g=10\,m / s ^2\right)\)

  1. A \(6\)
  2. B \(5\)
  3. C \(-5\)
  4. D \(10\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(5\)

Step-by-step Solution

Detailed explanation

\(\overrightarrow{ V }=\overrightarrow{ u }+\overrightarrow{ a t}\) \(V =150-10 t\) \(V (3)=150-30=120\) \(V (5)=150-50=100\) \(\frac{120}{100}=\frac{ x +1}{ x }=\frac{6}{5} \Rightarrow x =5\)
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