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*

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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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