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Vertical motion of object with a retarding force.

A retarding force on a fallen object is given by:

F = 0.5* c * rho * A * v^2

Where A is the cross sectional area
c is a constant
rho is air density
v is teh verical velocity

Three objects initially at rest are dropped from height of 100m.
A baseball of mass 0.145 and radisu of 0.0366m
A ping-pong ball of mass 0.0024kg and radius 0.019m
A rain drop with radius of 0.003 m (and use standard water density)

1. What are the terminal velocities and do all the objects reach their terminal velocities?
2. Make plots of position, velocity and accelartion vs. time for each object.


Solution Summary

The solution is 9 pages long and includes full derivations and all the steps to obtain the required results.