Supposed a body of mass 3 kg is falling in the atmosphere near sea level. Let v(t)m/s be the velocity of the body at time t in seconds. Assume that v is positive in the downward direction – that is, when the object is falling. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv(t) where c=0.35kg s . The gravitational constant is g=9.8m/s 2 . a) Find a differential equation for the velocity v : I have no idea where to start and think I am over thinking the question.
Supposed a body of mass 3 kg is falling in the atmosphere near sea level. Let
v(t)m/s
be the velocity of the body at time t
in seconds. Assume that v
is positive in the downward direction – that is, when the object is falling. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv(t)
where c=0.35kg
s
. The gravitational constant is g=9.8m/s
2
.
a) Find a differential equation for the velocity v
:
I have no idea where to start and think I am over thinking the question.
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