Problem 3.44 An object of mass m in a uniform gravitational field is dropped from some initial height. Assume that the force of air resistance is proportional to the first power of the velocity (x bu). Show that the distance y it has fallen in time t is y = mg b (t + m² (e " − 1)). - -bt/m

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Problem 3.44 An object of mass m in a uniform gravitational field is dropped from some initial height.
Assume that the force of air resistance is proportional to the first power of the velocity (x bv). Show that
the distance y it has fallen in time t is
y =
mg
b
+
m
1/² ( e-
-bt/m
¹)).
Transcribed Image Text:Problem 3.44 An object of mass m in a uniform gravitational field is dropped from some initial height. Assume that the force of air resistance is proportional to the first power of the velocity (x bv). Show that the distance y it has fallen in time t is y = mg b + m 1/² ( e- -bt/m ¹)).
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