Explore BrainMass

Explore BrainMass


    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    All work must be shown step by step, any answers given without proper justification will not be accepted. Keep track of units and use proper notation.
    An object is dropped from a tall building, If the air resistance is proportional to the square of the velocity, then (dv/dt)=-32(ft/sec^2)+kv^2 where k is a constant. Show that the velocity v as a function of time is v(t)= [squareroot(32/k)][tanh(squareroot(32kt))]

    © BrainMass Inc. brainmass.com November 24, 2022, 11:49 am ad1c9bdddf

    Solution Preview

    Please see the attachment.

    , we need to find .

    First, let's clarify some definitions.
    , , .
    So ...

    Solution Summary

    This shows how to work with velocity and time.