The following examples refer to Bradley's Calculus.
Functions are the basis of both calculus and Physics.
Examples:
- pg. 40 (Section 1.4): #54, #57
The following examples refer to Young and Freedman's University Physics.
Vectors are fully understood by breaking them down into components. The knowledge of addition of vectors and vector products can be applied to all vector quantities. The cross product is introduced which is used later in Calculus.
Examples:
- pg. 26-27 (1-32, 1-42)
Average velocity involves the change in distance over the change in time, and the instantaneous velocity is the limit of average velocity. The instantaneous velocity at any point is equal to the slope of the tangent to the curve at the point. (pg. 36 Figure 2-5)
Examples:
- pg. 53 (2-8) involves analysis of a graph and knowledge of tangents
Similarly, instantaneous acceleration is the limit of average acceleration. (pg. 39 Figure 2-9 shows a comparison of average to instantaneous acceleration graphically) Also, functions for rectilinear motion with constant acceleration appear in this week.
Examples:
- pg. 54 (2-14) involves graphing displacement velocity and acceleration
- pg. 54 (2-19) uses equations of rectilinear motion
