A jet is flying at 467.8 m with an air speed of 136.3 m/s it drops a bomb. ignore air resistance, determine the time, in seconds, that the bomb is in the air.

Question

A WWII bomber is flying at an altitude on 467.8 m with an air speed of 136.3 m/s when it drops a bomb over enemy territory. I we ignore air resistance, determine the time, in seconds, that the bomb is in the air.

Answer 1

The horizontal velocity of the bomb will not affect its vertical journey under gravity, hence it will not affect the time.

 

However the velocity and angle at which it hits the ground will be affected.

 

h = 467.8 m

g = 9.8 m/s

t = ?

 

using the formula h = 1/2 * g * t²

 

t = (2 * h/g)^1/2

 

t = (2 * 467.8/9.8)^1/2    = 9.77 secs