a vehicle of mass m moving without friction with speed v.suddenly, rain starts falling vertically(relative to the road) such that per unit time,mass b falls on the vehicle,comes to rest relative to it, and says within it. determine the vehicle velocity as a function of time, up to a time it can contain all the falling
Mass of vehicle is m
The velocity of the vehicle is v.
Mass falling per unit time = b
Mass that has fallen in time t = bt
Let velocity is u at this time.
By using linear momentum conservation,
"mv = (m+bt)u"
then, "u = \\frac{m}{m+bt} v"
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