Work done by quadratic air resistance.

[GS416492]

Homework Statement

A baseball of mass 0.145kg and radius 0.0366m is dropped from a tower 381m high.

Homework Equations

The Attempt at a Solution

Work=integral(from 0 to 381): c(2) (terminal velocity)^3*(tanh(t/(characteristic time)))^3 with respect to time.

Gets me really strange (incorrect) numbers

 

[darkSun]

You could also look at it this way: the object would have a certain energy when it hits the ground if it was freefalling with no air resistance. It has less energy when it hits the ground if it falls with the air resistance. The difference is due to the work of the air resistance force.