"A farmer needs to get hay to cows in a frozen field. Using an airplane flying 40 m/s, at a height of 280 m, how far from the cow would she have to release the hay in order to hit the cow?" What is the horizontal velocity you would use to solve this problem?

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Muscardinus Muscardinus · Answer 1 · 2020-11-22T02:38:28+01:00

Answer:

x = 302 m

Explanation:

Given that,

Speed of an airplane, v = 40 m/s

Height, h = 280 m

40 m/s is the horizontal velocity we should use to solve the given problem.

Let t is the time when the hay will reach the ground. It can be calculated using second equation of motion as follows :

[tex]h=ut+\dfrac{1}{2}at^2[/tex]

Here, u = 0 and a = g

[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 280}{9.8}} \\\\=7.55\ s[/tex]

Let the horizontal distance is x. It can be calculated as :

x = vt

x = 40 m/s × (7.55 s)

x = 302 m

Hence, at a distance of 302 m she have to release the hay in order to hit the cow.