A bullet is fired from a gun at the speed of 280 m s -1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g =9.8 m s -2 , sin 30 ° =0.5 ) :

Physics · Motion in Plane

NEET (UG) 2023 — Question 21

A bullet is fired from a gun at the speed of $280 \mathrm{~m} \mathrm{~s}^{-1}$ in the direction $30^{\circ}$ above the horizontal. The maximum height attained by the bullet is $\left(\mathrm{g}=9.8 \mathrm{~m} \mathrm{~s}^{-2}, \sin 30^{\circ}=0.5\right)$ :

Option A:
2000 m
Option B:
1000 m
Correct
Option C:
3000 m
Option D:
2800 m

Answer: B

Step-by-step solution

H & =\frac{u^2 \sin ^2 \theta}{2 g} \\ H & =\frac{(280)^2\left(\sin ^2 30\right)}{2 \times 9.8} \\ & =\frac{280 \times 280 \times 0.5 \times 0.5}{2 \times 9.8} \\ H & =1000 \mathrm{~m} \end{aligned}$$

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Paper: 2023 paper
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