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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2023 · Physics · Motion in Two Dimensions

A bullet is fired from a gun at the speed of 280m s ^ - 1 in the...

A bullet is fired from a gun at the speed of280ms−1280m{s}^{- 1} in the direction 30°30 ° above the horizontal. The maximum height attained by the bullet is (g=9.8ms−2,g = 9 . 8m{s}^{- 2}, sin⁡30°=0.5\sin 30 ° = 0 . 5):

Options

  1. A3000m3000m
  2. B2800m2800m
  3. C2000m2000m
  4. D1000m1000m

Correct answer

D. 1000m1000m

Step-by-step solution

Maximum height of the projectile is given by,

H=u2sin⁡2θ2g=2802×(sin⁡230°)2×9.8=1000mH = \dfrac{{u}^{2}\sin^{2}\theta}{2g} = \dfrac{{280}^{2} \times \left(\sin^{2}30 °\right)}{2 \times 9 . 8} = 1000m

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