1. Where s is in feet and t is in seconds. When will Bugs hit the ground?
Warm up 10/13
Bugs Bunny has been capture by Yosemite Sam and forced to “walk the plank.” Instead of waiting for Yosemite Sam to finish cutting the board from underneath him, Bugs finally decides just to jump. Bugs’ position , s, is given by
Where s is in feet and t is in seconds.
When will Bugs hit the ground?
What is Bugs’ velocity at impact? Units?
What is Bugs’ average velocity from 0 to 3 sec?
Find Bugs’ acceleration as a function of time. Units?

2. Agenda : go over hw Notes lesson 4.4 B Motion
Be seated before the bell rings
DESK
Agenda : go over hw
Notes lesson 4.4 B Motion
Warm-up (in your notes)
homework

3. Notebook 19)4.4 Fundamental Theorem of Calculus 19)4.4 FTC
Learning Target 1
Table of content
Page
13) Extreme Values
14) Role’s Thm
MVT
15) Increasing/Decreasing & 1st deriv. Test
16) Concavity and 2nd deri. Test
17) Optimization
18) 4.2/4.3 Area
19)4.4 FTC 1
19)4.4 Fundamental
Theorem of Calculus
HW:p.288; odd, 59,66, odd

4. 4.4 B Motion problems
anti
Position
deriv
anti
deriv

5. 1. How far did you travel in the time [30,50] ?

6. anti deriv anti deriv 4.4 B Motion problems Position Displacement
Distance
Where you end up + or -
How far
You travel
Always +
Example 1:
Displacement after 6 sec 6
= 6 ft
Total distance travel after 6 sec ?

7. Example 2: Find avg vel from 0 to 6 sec Average Velocity
Distance
How far you’ve gone
Displacement
Where you end up
Example 2: Find avg vel from 0 to 6 sec
Average Velocity
Before – given position equation
- find slope
Now – given velocity equation
Displacement
More movement was positive . So our displacement is in front
Time

8. Example 3:
m/sec 2
and
Find…
(1) Displacement after 4 sec
(2) Total distance after 4 sec.
(3) Average velocity after 4 sec.

11. Suppose the graph below shows the velocity of a particle moving along the x-axis
Which way does the particle move first?
When does the particle stop?
When does the particle change direction?
Graph the acceleration for 0 to 10 .
d) When is the particle speeding up?
f) When is the particle moving at a constant speed?

12. 2009 AB 1

14. 2010 AB 3