Mathematics, 12.03.2020 20:03 lillysiege
We saw that a differential equation describing the velocity v of a falling mass subject to air resistance proportional to the instantaneous velocity is m*dv/dt = mg-kv, where k > 0 is a constant of proportionality. The positive direction is downward.
(a) Solve the equation subject to the initial condition v(0) = v0.
(b) Use the solution in part (a) to determine the limiting, or terminal, the velocity of the mass.
(c) If the distance s, measured from the point where the mass was released above ground, is related to velocity v by ds/dt = v(t), find an explicit expression for s(t) if
s(0) = 0.
Answers: 3
Mathematics, 20.06.2019 18:04
For a read-a-thon, jay and odhràn each started reading a book at the same time and continued reading for several hours. jay's book had 278 pages, and he read 55 pages per hour. odhràn's book had 238 pages, and he read 45 pages per hour. after how many hours did they have the same number of pages left, and how many pages were left?
Answers: 2
Mathematics, 21.06.2019 23:30
The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.
Answers: 3
We saw that a differential equation describing the velocity v of a falling mass subject to air resis...
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