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TS EAMCET · Physics · Motion In Two Dimensions

A cricket player can throw a ball with an initial speed of \(30 \mathrm{~m} / \mathrm{s}\). What is the maximum range of the player can throw the ball? Neglect air resistance. [Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) ]

  1. A \(100 \mathrm{~m}\)
  2. B \(90 \mathrm{~m}\)
  3. C \(80 \mathrm{~m}\)
  4. D \(90 \sqrt{2} \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(90 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Maximum range occurs, when angle of throw \(\theta=45^{\circ}\) \[ \begin{gathered} \text { Also, range maximum }=\left.\frac{u^2 \sin 2 \theta}{g}\right|_{\theta=45^{\circ}} \\ =\frac{u^2}{g}=\frac{900}{10}=90 \mathrm{~m} \end{gathered} \]
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