On a rainy day, a raindrop falls from very high clouds and faces retardation due to air. This retardation is directly proportional to the instantaneous speed of the drop. An expression for the distance traveled by the drop in time tis
A
B
s = 
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let the retardation produced by instantaneous opposition
= α α v (where α α is a constant)
Net instantaneous acceleration = g - α α v
i.e., dv/dt = (g - α α v)
Integrating, 
In 
i.e., v = 
(1 – e - α α t )
i.e., 
i.e., dS = 
dt
Integrating, 
= 
or S = 
or S = 
(e - α α t – 1 ) + 
t
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