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NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2022 · Physics · Motion in Two Dimensions

A cricket ball is thrown by a player at a speed of 20 ~m / s in a...

A cricket ball is thrown by a player at a speed of 20 m/s20 \mathrm{~m} / \mathrm{s} in a direction 30∘30^{\circ} above the horizontal. The maximum height attained by the ball during its motion is (g=10 m/s2)\left(g=10 \mathrm{~m} / \mathrm{s}^2\right) :

Options

  1. A5 m5 \mathrm{~m}
  2. B10 m10 \mathrm{~m}
  3. C20 m20 \mathrm{~m}
  4. D25 m25 \mathrm{~m}

Correct answer

A. 5 m5 \mathrm{~m}

Step-by-step solution

Given : (u=\mathrm{u}=20  m\mathrm{~m}/ sθ=\mathrm{s} \theta=30^{{}^{\circ}}, g=\mathrm{g}=10  m\mathrm{~m}/ \mathrm{s}^2) We get (\sin θ=sin⁡\theta=\sin30^{{}^{\circ}}=12\frac{1}{2}) Maximum height reached (H=u2sin⁡2θ2 g=20×20×(12)220=\mathrm{H}=\frac{\mathrm{u}^2 \sin ^2 \theta}{2 \mathrm{~g}}=\frac{20 \times 20 \times\left(\frac{1}{2}\right)^2}{20}=5  m\mathrm{~m})
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