Question

(7%) Problem 14: A spherical rain drop of radius R and mass M falls vertically through a cloud layer. The drop enters the cloud layer at a height H from the ground and exits the cloud at a height h. While inside the cloud the drop accumulates water molecules so that its mass and size grow with time. The mass of the rain drop at time t when inside the cloud is given as follows: m(t) = M + at with t= 0 at the time the drop enters the cloud, and a the rate at which water molecules accumulate. Incorrect Answer The provided answer is not correct and no specific feedback is available. Please view available hints and review the relevant material. Close Write an expression for the speed of the rain drop as a function of time when it is inside the cloud if it has a speed of vo immediately before entering the cloud. Grade Summary v(t) = M vo/dt! Deductions Potential

Answer 1

The acceleration due to gravity remains constant throughout the motion which is 9.8 m/s² .

For constant acceleration ,

$\vec{v}=\vec{u}+\vec{a}t$

$\vec{v}$ is the final velocity .

$\vec{u}$ is the initial velocity .

Here initial velocity of raindrop v₀ .

$v=v_{0}+gt$

Thus , the final velocity of raindrop is $v_{0}+gt$ .