Concept explainers
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 g 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
(b) For fixed t, use l’Hospital’s Rule to calculate
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