If an object with mass m is dropped from rest, one model for its speed v after
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If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is
where t is the acceleration due to gravity and c is a positive constant. (In Chapter 9 we will be able to deduce this equation from the assumption that the air resistance is proportional to the speed of the object; c is the proportionality constant.)
(a) Calculate limt t→ ∞ v. What is the meaning of this limit?
(b) For fixed t, use 1’Hospital’s Rule to calculate lim c → 0 + v. What can you conclude about the velocity of a falling object in a vacuum?
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a mgc which is the speed the objec...View the full answer
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