Calculus Animations,Graphics and Lecture Notes

1st order Diff Eqs -Motion
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On this page are the lecture notes and animation which discuss one-dimensional motion with air resistance

Notes - 1D Motion with Air Resistance

Velocity

Position

In this animation note that as terminal velocity is approached the trajectory becomes linear

Position and Velocity

Position First 2 Seconds

Entire Trajectory

The following is an extra credit assignment which extends the ideas discussed to projectile motion in the plane. It also describes how to graph parametric eqns in Mathcad. The extension to 3-D is then obvious.

Projectile Motion in the Plane

Answer to Projectile Motion Exercise

 The Lion and the Antelope

The following is an example which combines parametric equations and 1st order differential equations which gives the trajectroy of a lion chasing down an antelope.

Lion and Antelope-Animation

Notes - The Lion and the Antelope



The Smart Bunny-A very short story by Kurt Vonnegut Jr.

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