Where s is in feet and t is in seconds. When will Bugs hit the ground?

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Presentation transcript:

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?

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

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; 51-55 odd, 59,66, 95-101 odd

4.4 B Motion problems anti Position deriv anti deriv

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

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 ?

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

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

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?

2009 AB 1

2010 AB 3