Published by:
CGP EDU Academic Team
Published on: September 12, 2026
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
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
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A particle moving in a straight line covers half the distance with speed of 3 m/s . The other half …
A particle starts from rest. Its acceleration ( a ) versus time ( t ) is as shown in the figure. Th…
A car accelerates from rest at a constant rate \ddot{q} for some time, after which it decelerates a…
A stone dropped from a building of height h and it reaches after t seconds on earth. From the same …
A ball is projected upwards from a height \hat{h} above the surface of the earth with velocity \vec…
A particle is dropped vertically from rest from a height. The time taken by it to fall through succ…