# Matching Motion

Here’s a little matching quiz. In the function column are a list of properties of functions and in the motion column are a list of terms describing the motion of a particle. The two list are very similar. Match the terms in the function list with the corresponding terms in the Linear Motion list (some may be used more than once). The answers are below. For more on this idea see my previous post Motion Problems: Same Thing, Different Context.

Function                                               Linear Motion
1. Value of a function at x                     A. acceleration
2. First derivative                                  B. “at rest”
3. Second derivative                             C. farthest left
4. Function is increasing                       D. farthest right
5. Function is decreasing                      E. moving to the left or down
6. Absolute Maximum                          F. moving to the right or up
7. Absolute Minimum                            G. object changes direction
8. y ʹ = 0                                                H. position at time t
9. y ʹ changes sign                                I. speed
10. Increasing & concave up                J. speed is decreasing
11. Increasing & concave down           K. speed is increasing
12. Decreasing & concave up              L. velocity
13. Decreasing & concave down
14. Absolute value of velocity

Answers:  1. H,   2. L,   3. A,   4. F,   5. E,   6. D,   7. C,   8. B,   9. G,   10. K,   11. J,   12. J,   13. K,   14. I

## One thought on “Matching Motion”

1. Tammy Bobo says:

Love this post. I will use this TODAY!
Thank you so much for your work.

Tammy T. Bobo, PhD
Mathematics Teacher
Pickens High School
150 Blue Flame Drive
Pickens, SC 29671

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