MCQ
In how many directions (at angles) can a body be projected with the same speed for the same range?
- ✓2
- B3
- C4
- D1
✓
Answer
Correct option: A.
2
(A) Horizontal range
$R =\frac{u^2 \sin 2 \theta}{g}$
$\sin 2 \theta=\sin (\pi-2 \theta)
$
$\therefore$ Projection angle will be $\theta$ or $\frac{\pi-2 \theta}{2}=\left(\frac{\pi}{2}-\theta\right)$ for the same horizontal range.
Hence, the correct option is (A).
$R =\frac{u^2 \sin 2 \theta}{g}$
$\sin 2 \theta=\sin (\pi-2 \theta)
$
$\therefore$ Projection angle will be $\theta$ or $\frac{\pi-2 \theta}{2}=\left(\frac{\pi}{2}-\theta\right)$ for the same horizontal range.
Hence, the correct option is (A).
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