Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200m with the same velocity of 25 m/s. When and where will the two bullets collides. (g = 10 m/s2)

Question

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200m with the same velocity of 25 m/s. When and where will the two bullets collides. (g = 10 m/s2) (A) after 2s at a height 180 m (B) after 2s at a height of 20 m (C) after 4s at a height of 120 m (D) they will not collide

Tardigrade Admin · Accepted Answer

t = (d/vrel) = (100/50) = 2 s sy = - (1/2) gt2 = -(1/2) × 10× 4 = -20 ∴ Height = 180 m

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

after 2s at a height 180 m

after 2s at a height of 20 m

after 4s at a height of 120 m

they will not collide

$t = \frac{d}{v _{re l}} = \frac{100}{50} = 2 s$
$s_{y} = - \frac{1}{2} g t^{2}$
$= - \frac{1}{2} \times 10 \times 4 = - 20$
$∴$ Height $= 180 m$

Q. Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200m with the same velocity of 25 m/s. When and where will the two bullets collides. (g = 10 m/s2)