An object of mass m falls from rest, starting at a point near the eart's surface. Assuming that the air resistance is proportional to the velocity magnitude of the object. k(resistance coefficient), m(mass), g(gravity) are positive constants. Find the velocity of the object in the form of t. what is the differantial equation to solve this problem? dV =g- dt dV mv² =g+ k II → dt k dV = m – –V² dt III → - - dV k g--V dt IV → %3D m V → dV = mg – kV -
An object of mass m falls from rest, starting at a point near the eart's surface. Assuming that the air resistance is proportional to the velocity magnitude of the object. k(resistance coefficient), m(mass), g(gravity) are positive constants. Find the velocity of the object in the form of t. what is the differantial equation to solve this problem? dV =g- dt dV mv² =g+ k II → dt k dV = m – –V² dt III → - - dV k g--V dt IV → %3D m V → dV = mg – kV -
An object of mass m falls from rest, starting at a point near the eart's surface. Assuming that the air resistance is proportional to the velocity magnitude of the object. k(resistance coefficient), m(mass), g(gravity) are positive constants. Find the velocity of the object in the form of t. what is the differantial equation to solve this problem? dV =g- dt dV mv² =g+ k II → dt k dV = m – –V² dt III → - - dV k g--V dt IV → %3D m V → dV = mg – kV -
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AL289
An object of mass m falls from rest, starting
at a point near the eart's surface. Assuming
that the air resistance is proportional to the
velocity magnitude of the object.
k(resistance coefficient), m(mass), g(gravity) are positive constants.
Find the velocity of the object in the form of t.
what is the differantial equation to solve this problem?
dV
I →
=g-
dt
k
m
dV
m
II →
= g +
k
dt
dV
Ш >
dt
k
M – –V²
k
dV
=g--V
dt
IV →
dV
= mg – kV
dt
V →
Sonraki O
MacBook Pro
Transcribed Image Text:ns - CAL289
dV
k
4-
dt
m
dV
m
-2
II
>
dt
dV
k
III
->
= M
dt
dV
IV →
dt
m
dV
= mg -kV
dt
A) II
B) II
C) I
D) IV
O EL V
Ma
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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