An airplane is moving at 350 km/hr. if a bomb is
dropped from the airplane at 1.5 km, (a) with what
velocity does the bomb strike the earth? (b) how
long does it take the bomb to fall? (c) what is the
bomb's range?

Answers:

a) -171.402 m/s  

b) 17.49 s

c) 1700.99 m

Explanation:

We can solve this problem with the following equations:

(1)

(2)

(3)

Where:

is the bomb's final height

is the bomb's initial height

is the bomb's initial vertical velocity, since the airplane was moving horizontally

is the time

is the acceleration due gravity

is the bomb's range

is the bomb's initial horizontal velocity

is the bomb's final velocity

Knowing this, let's begin with the answers:

With the conditions given above, equation (1) is now written as:

(4)

Isolating :

(5)

(6)

(7)

Since , equation (3) is written as:

(8)

(9)

(10) The negative sign only indicates the direction is downwards

Substituting (7) in (2):

(11)

(12)