15. 4 points SCalcET8 4.4.078. If an object with mass m is dropped from rest, on

Question

15. 4 points SCalcET8 4.4.078. 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 describing air resistance. (a) Calculate limv. What is the meaning of this limit? O It is the speed the object reaches before it starts to slow down O It is the time it takes the object to reach its maximum speed O It is the speed the object approaches as time goes on. O It is the time it takes for the object to stop. (b) For fixed t, use l'Hospital's Rule to calculate lim v What can you conclude about the velocity of a falling object in a vacuum? OAn object falling in a vacuum will accelerate at a slower rate than an object not in a vacuum. O The heavier the object is the faster it will fall in a vacuum O The velocity of a falling object in a vacum is directly proportional to the amount of time it falls O The velocity of a falling object is proportional to its mass in a vacuum

Explanation / Answer

a) mg/c is the limit
2)It is the speed the object approaches as time goes on.
b)gt is the limit
3)The speed is proportional to the elapsed time. It doesn't depend on the mass. The longer the object falls the faster it will fall because same acceleration g it will not depend on mass

hence correct option is option third.

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