How Fast Do Raindrops Travel Without Air Resistance?

[lauriecherie]

Homework Statement

Raindrops fall 1800 m from a cloud to the ground. If they were not slowed by air resistence, how fast would the drops be moving when they struck the ground?

Homework Equations

x(t)= initial position + final velocity * time

v(t)= (acceleration * time) + initial velocity

x(t)= .5 * (acceleration * (time^2)) + (initial velocity * time) + inital position

x= initial position * (average velocity * time)

average velocity= (final velocity - initial velocity) / (2)

(final velocity^2) - (initial velocity^2) = 2 * acceleration * change in position

The Attempt at a Solution

My answer is 187.83 m/s which is shown to be correct. It goes on the ask if it would be safe to walk outside during a rainstorm. My guess of course would be no, but it's only a one shot question. What do you think?

 

[LowlyPion]

That comes out to about 421 mph.

Take a kevlar umbrella.