Question

a)A plane flying horizontally at 100m/s at height 1000m releases a bomb from it. Find 1) the time it takes to reach the ground 2) the velocity with which bomb hits the target in the ground. b) while firing one has to aim a little above the target and not exactly on the target .why

Answer 1

1. Using Newton's law of motion,
   s = ut + (1/2) * a * t^2
   1000 = (1/2) * 10 * t^2    [ taking acceleration due to gravity to be 10 m/s^2]
    t = 10 $\sqrt{2}$ sec

2. Using Newton's law of motion,
    v = u + at
    v = 10 * 10 $\sqrt{2}$
    v = 100 $\sqrt{2}$ m/s

3. One has to aim a little above the target and not exactly on the target while firing to account for the vertical displacement caused by acceleration due to gravity.