An airplane is flying overhead at a constant elevation of 3000ft. A man is viewing the plane from a position 4000ft from the bas
e of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at a rate of 500ft/s, at what rate is the distance between the man and the plane increasing when the plane passes over the radio tower?
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To solve this problem we will apply the concepts related to the kinematic equations of linear motion. We will calculate the initial velocity of the object, and from it, we will calculate the final position. With the considerations made in the statement we will obtain the total height. Initial velocity of the acorn,
Also, it is given that the acorn takes 0.201s to pass the length of the meter stick.
Replacing,
The height of the acorn above the meter stick can be calculated as,
Also the top of the meter stick is 1.87m above the ground hence the height of the acorn above the ground is