Two paper screens A and B are separated by a distance of 100 m. A bullet pierces A and then B. The hole in B is 10 cm below the hole in A. If the bullet is travelling horizontally at the time of hitting the screen A, calculate the velocity of the bullet when it hits the screen A. Neglect the resistance of paper and air.

Foundation

Physics Foundation

Vertical Motion

Force and Newtons Law of Motion

Question

Two paper screens A and B are separated by a distance of 100 m. A bullet pierces A and then B. The hole in B is 10 cm below the hole in A. If the bullet is travelling horizontally at the time of hitting the screen A, calculate the velocity of the bullet when it hits the screen A. Neglect the resistance of paper and air.

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Equation of motion in x - direction, 100 = v × t

\Rightarrow t = \frac{100}{V}

............(i)

In y - direction

0.1 = 1/2 × 10 × r²

0.1 = 1/2 × 10 × (100/v)²...........(ii)

From Eqs (i) and (ii), we get

u = 700 m/s^–1