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Homework Help: Is a rainstorm dangerous?

  1. Feb 9, 2009 #1
    1. The problem statement, all variables and given/known data

    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?

    2. Relevant 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

    3. 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?
    Last edited: Feb 9, 2009
  2. jcsd
  3. Feb 9, 2009 #2


    User Avatar
    Homework Helper

    That comes out to about 421 mph.

    Take a kevlar umbrella.
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