Two bullets are fired horizontally and simultaneously towards eac… - Vidyadip

MCQ

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. $\left(g=10 \;\mathrm{m} / \mathrm{s}^{2}\right)$

✓
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

Correct option: A.

after $2\; s$ at a helght $180\; \mathrm{m}$

a
$\mathrm{t}=\frac{\mathrm{d}}{\mathrm{v}_{\mathrm{rel}}}=\frac{100}{50}=2$

$\mathrm{s}_{\mathrm{y}}=-\frac{1}{2} \mathrm{gt}^{2}=-\frac{1}{2} \times 10 \times 4=-20$

Height $=180 \mathrm{m}$

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