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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A player throws a ball vertically upwards with an initial speed of \( 29.4\text{ m/s} \). Taking \( g = 9.8\text{ m/s}^2 \) and neglecting air resistance, the maximum height reached by the ball and the time taken to reach the maximum height are respectively:

  1. \( 44.1\text{ m} \text{ and } 3.0\text{ s} \)
  2. \( 88.2\text{ m} \text{ and } 6.0\text{ s} \)
  3. \( 29.4\text{ m} \text{ and } 3.0\text{ s} \)
  4. \( 44.1\text{ m} \text{ and } 6.0\text{ s} \)

Correct answer · Option 1

\( 44.1\text{ m} \text{ and } 3.0\text{ s} \)

Explanation

\( h_{\text{max}} = \frac{u^2}{2g} = \frac{29.4^2}{2 \times 9.8} = 44.1\text{ m} \). Time to reach max height \( t = \frac{u}{g} = \frac{29.4}{9.8} = 3.0\text{ s} \).
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