The total forces acting on a object falling through Earth's atmosphere is given by the differe equation dv m = mg - kv dt Consider the case of an object of m = 30 kilometers and allow for constant of air resistance k = 3 kilograms per second. Answer the following questions. (a) Solve the differential equation for v(t). b) Use the equation for v(t) to report the terminal velocity of the 30 kilogram mass.

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Chapter2: Second-order Linear Odes
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3. The total forces acting on a object falling through Earth's atmosphere is given by the different
equation
dv
= mg
dt
kv
Consider the case of an object of m = 30 kilometers and allow for constant of air resistance to be
k = 3 kilograms per second. Answer the following questions.
(a) Solve the differential equation for v(t).
(b) Use the equation for v(t) to report the terminal velocity of the 30 kilogram mass.
Transcribed Image Text:3. The total forces acting on a object falling through Earth's atmosphere is given by the different equation dv = mg dt kv Consider the case of an object of m = 30 kilometers and allow for constant of air resistance to be k = 3 kilograms per second. Answer the following questions. (a) Solve the differential equation for v(t). (b) Use the equation for v(t) to report the terminal velocity of the 30 kilogram mass.
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