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Horizontal Projectile & Inclined Plane question from NEET 2019

Q9NEET 2019Medium

Horizontal Projectile & Inclined Plane

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and 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/s2g = 10\text{ m/s}^{2})

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Answer: (b)

  1. Relative horizontal speed =25+25=50 m/s= 25 + 25 = 50\text{ m/s}, so they meet at t=10050=2 st = \frac{100}{50} = 2\text{ s}.
  2. Both fall the same distance 12gt2=12(10)(2)2=20 m\frac{1}{2}gt^2 = \frac{1}{2}(10)(2)^2 = 20\text{ m}, so they do collide.
  3. Height =200−20=180 m= 200 - 20 = 180\text{ m}
  4. So the answer is (b).
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