1. What’s This Got To Do With Physics?
Property of Texas Tech University
Department of Mathematics & Statistics

2. Physics and Derivatives

3. Falling Body Formula

4. Example

5. Example

6. Example

7. Example

9. 𝑣(1) = 90 + - + 3 6 8
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑣(𝑡)
[0, 3) ∪ (6,8]

10. + - 3 6 8
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑣(𝑡)
(3, 6)

11. - +
4.5 8
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑎(𝑡)
Decelerating [0, 4.5)
Accelerating (4.5, 8]

12. 78 m
t=8
s=240
t=6
s=162
t=3
s=202.5
t=0
s=0
40.5 m
202.5 m
= 321 𝑚

13. Graph of 𝑠(𝑡)

14. Simple Harmonic Motion
Pendulum
Block Attached To A Spring

15. Simple Harmonic Motion3 -3
Block Attached To A Spring

16. Simple Harmonic Motion3 -3 - + 1 2
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑣(𝑡)
Block Attached To A Spring

17. Simple Harmonic Motion3 - + 1 2
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑣(𝑡) -3
Block Attached To A Spring

18. Simple Harmonic Motion3 - + - -3
1.5 2
0.5
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑎(𝑡)
Block Attached To A Spring

19. Simple Harmonic Motion3 - + -
1.5 2
0.5
𝑠𝑖𝑔𝑛 𝑜𝑓 𝑎(𝑡) -3
Block Attached To A Spring

20. Simple Harmonic Motion3
6 + 6 = 12 𝑐𝑚
6 cm -3
Block Attached To A Spring