The following examples refer to Bradley's Calculus.
Tangent Lines are imperative to the understanding of the derivative which occurs in the definition of many basic terms in Physics.
Examples:
- pg. 94 (Section 2.1): #38
The following examples refer to Young and Freedman's University Physics.
A good example involving derivatives, integrals, and
graphs occurs when friction forces resulting from motion
through a fluid increases with the body's speed through
the fluid (pg. 137 Example 5-18)
An examples of a discontinuous function in physics
involves static and kinetic friction. When a body starts
from rest, there is a discontinuity
in the coefficient of friction when the friction force
changes from static friction to kinetic friction (pg.
134
Figure
5-17)
Examples:
- pg. 134 (Example 5-13) involves friction forces; one could produce a graph to see the discontinuities
Newton's second law of motion (F=ma) involves first and second derivatives which can be integrated into the problem. It is also an example of the chain rule
Examples:
- pg. 152 (5-17)
