Question

An airplane flying horizontally at 130.0 m/s drops a crate of food from a height of 2750. m. How far in front of the target must the bomb be released?

Answer 1

Answer:

The crate should be released 3,080 m in front of the target

Explanation:

Horizontal Launch

When an object is thrown horizontally with a speed v from a height of h, it describes a curved path ruled by gravity until it hits the ground.

The range or maximum horizontal distance traveled by the object can be calculated as follows:

$\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}$

The airplane drops a crate horizontally from a height of h= 2,750 m when flying at v=130 m/s. The range or maximum horizontal distance the crate reaches is:

$\displaystyle d=130\cdot\sqrt{\frac {2*2,750}{9.8}}$

Operating:

$\displaystyle d=130\cdot\sqrt{561.2245}$

d = 3,080 m

The crate should be released 3,080 m in front of the target