A water balloon of mass 890 grams is rolled on level ground with an initial velocity of 38 meters per second. As it travels, water leaks from the palloon at a rate of 255 grams per second. Assume air resistance is proportional to velocity with coefficient 6 grams per second. a) Find the velocity of the balloon as a function of time. P(t) = b) What is the furthest distance the balloon could travel?

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A water balloon of mass 890 grams is rolled on level ground with an initial velocity of 38 meters per second. As it travels, water leaks from the
balloon at a rate of 255 grams per second. Assume air resistance is proportional to velocity with coefficient 6 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 890 grams is rolled on level ground with an initial velocity of 38 meters per second. As it travels, water leaks from the balloon at a rate of 255 grams per second. Assume air resistance is proportional to velocity with coefficient 6 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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