Question

An aeroplane is travelling horizontally at a height
of 2000 m from the ground. The aeroplane, when
at a point P, drops a bomb to hit a stationary target
Q on the ground. In order that the bomb hits the
target what angle A must the line PQ make with
the vertical? (g = 10 ms?)​

Answer 1

An aeroplane is travelling horizontally at a height

of 2000 m from the ground. The aeroplane, when

at a point P, drops a bomb to hit a stationary target Q on the ground.

To find : angle made by line PQ with the vertical when bomb hits the target.

solution : see figure, an aeroplane is travelling horizontally at a height h = 2000 m from the ground. a bomb is droped from the point P.

initial velocity of bomb , v = 0 m/s

using formula, h = ut + 1/2 at²

h = 2000 m , u = 0 , a = 10 m/s²

⇒2000 = 1/2 × 10 × t²

⇒2000 = 5t²

⇒t = 20 sec

horizontal distance covered by bomb, R = 100m/s × 20 sec

= 2000 m

tanA = R/h = 2000 m/2000 m = 1

⇒tanA = tan45°

⇒A = 45°

therefore angle made with vertical is 45°

Answer 2

Explanation:

hope the answer was helpful