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NEET · Physics · STD 11 - 3.2 motion in plane
Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buldings \(100 \;\mathrm{m}\) apart and of same helght of \(200 \;\mathrm{m}\) with the same velocity of \(25\; \mathrm{m} / \mathrm{s}\). When and where will the two bullets collide. \(\left(g=10 \;\mathrm{m} / \mathrm{s}^{2}\right)\)
- A after \(2\; s\) at a helght \(180\; \mathrm{m}\)
- B after \(2\; s\) at a helght of \(20\; \mathrm{m}\)
- C after \(4\;s\) at a height of \(120\; \mathrm{m}\)
- D they will not collide
Answer & Solution
Correct Answer
(A) after \(2\; s\) at a helght \(180\; \mathrm{m}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{t}=\frac{\mathrm{d}}{\mathrm{v}_{\mathrm{rel}}}=\frac{100}{50}=2\) \(\mathrm{s}_{\mathrm{y}}=-\frac{1}{2} \mathrm{gt}^{2}=-\frac{1}{2} \times 10 \times 4=-20\)
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