Work Energy And Power Ques 42

42. Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings $100 $ $m$ apart of same height of $200 $ $m$, with the same velocity of $25$ $m / s$. When and where will the two bullets collide? $(g=10 $ $m / s^{2})$

[NEET Odisha 2019]

(a) They will not collide

(b) After $2 $ $s$ at a height of $180$ $ m$

(c) After $2 $ $s$ at a height of $20$ $ m$

(d) After $4 $ $s$ at a height of $120$ $ m$

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Answer:

Correct Answer: 42.(b)

Solution:

  1. (b)

Bullets collide at time $t$

$x_1+x_2=100 $ $m$

$25 t+25 t=100$

$ \begin{aligned} & t=2 s \\ & y=\frac{1}{2} g t^{2}=\frac{1}{2} \times 10 \times 2^{2}=20 m \\ & h=200-20=180 m \end{aligned} $