A water balloon of mass 1000 grams is rolled on level ground with an initial velocity of 35 meters per second. As it travels, water leaks from the balloon at a rate of 140 grams per second. Assume air resistance is proportional to velocity with coefficient 94 grams per second. (a) Find the velocity of the balloon as a function of time. v(t) =O (b) What is the furthest distance the balloon could travel? Total distance = meters. %3D

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A water balloon of mass 1000 grams is rolled on level ground with an initial velocity of 35 meters per
second. As it travels, water leaks from the balloon at a rate of 140 grams per second. Assume air resistance is
proportional to velocity with coefficient 94 grams per second.
(a) Find the velocity of the balloon as a function of time.
v(t)
(b) What is the furthest distance the balloon could travel?
Total distance =
meters.
Transcribed Image Text:A water balloon of mass 1000 grams is rolled on level ground with an initial velocity of 35 meters per second. As it travels, water leaks from the balloon at a rate of 140 grams per second. Assume air resistance is proportional to velocity with coefficient 94 grams per second. (a) Find the velocity of the balloon as a function of time. v(t) (b) What is the furthest distance the balloon could travel? Total distance = meters.
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