Question

A bomber flying at level flight must release its bomb before it is just over the target, neglect the air resistance and so,find the wrong statement *

1).The bomber will be over the target when the bomb strikes
2).The bomb travels in a curved path
3).The time of flight of the bomb is independent of horizontal component of velocity of plane
4).When the bomb strikes the target, both the horizontal and vertical component of the velocity are equal​

Answer 1

The wrong statement is :

4)When the bomb strikes the target, both the horizontal and vertical component of the velocity are equal.

Proof :

This is a case of height-ground projectile.

Let the initial horizontal velocity vector be u and the initial vertical velocity vector be zero.

Let height of flying of plane be h .

At the time of striking of bomb with the target:

$\therefore \: {v}^{2} = {0}^{2} + 2gh$

$= > v = \sqrt{2gh}$

So , the final vertical velocity is √(2gh)

But , the final horizon till velocity vector will still be u and independent of the height h. This is because there is no acceleration along the x axis.

$\boxed{ \sf{ \large{Statement \: 4}}}$