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5. Check your friend's solution Air Resistance An object is released from rest far above the ground. The object egrperienees a force due to the
5. Check your friend's solution Air Resistance An object is released from rest far above the ground. The object egrperienees a force due to the air (drag) that is preportional to the object's speed F = br';'. In this problem let's dene the yaxis to point dam (a) (1 point) Your friend, who is also taking Classical Mechanics, has calculated s30). She knows that the terminal velocity of the object is 40 m/s, and has found a solution, 1),,(t) = 40(1 3\"\"), but isn't condent that it. is right. In physics we often want to check our answers by picking situations where you independently know what the answer should be without using your formula, and then checking that your proposed formula gives these answers. In this case, you know Us\") for t = D and t 3- 00 from your basic understanding of physics. Check your friend's solution at these two points. How is her equation looking so far? (b) (1 point) Given that the drag force on this object is 1:". = br';', the drag force is not very signicant for small times. What is the formula for uy(t) in the case of no drag? (c) (2 points) Given the above, check your friend's solution by nding an approxirnar tion for it that is valid for small It by using the Taylor expansion c'ml+x+z2/2!+... (3) If you nd that it is incorrect, can you suggest to your friend what term(s) in the equation she might want to double check
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