Rankers Physics
Topic: Kinematics
Subtopic: Projectile from Height

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/s²)
They will not collide
After 2 s at a height of 180 m
After 2 s at a height of 20 m
After 4 s at a height of 120 m

Solution:

  • Horizontal motion: Bullets move towards each other with relative velocity 5050 m/s. Time to meet:

    t=10050=2 st = \frac{100}{50} = 2 \text{ s}

  • Vertical motion: Free fall equation:

    H=2005t2=2005(2)2=180 mH = 200 - 5t^2 = 200 - 5(2)^2 = 180 \text{ m}

Answer: (2) After 2 s at a height of 180 m.

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