13112an3.14-16

13112an3.14-16 - c Kendra Kilmer February 3 2012 Section 3.8 Rates of Change in the Natural and Social Sciences Example 1 A particle moves

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c c Kendra Kilmer February 3, 2012 Section 3.8 - Rates of Change in the Natural and Social Sciences Example 1: A particle moves according to a law of motion s = f ( t ) = 0 . 01 t 4 0 . 04 t 3 , t 0, where t is measured in seconds and s in feet. a) Find the velocity at time t . b) What is the velocity after 2 seconds? c) When is the particle at rest? d) When is the particle moving in the positive direction? e) Find the total distance traveled during the first 8 seconds. f) Draw a diagram to illustrate the motion of the particle. 14
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c c Kendra Kilmer February 3, 2012 g) Find the acceleration at time t and after 3 seconds. h) Graph the position, velocity, and acceleration functions for t 0. i) When is the particle speeding up? When is it slowing down? Example 2: In each of the following determine when the particle is speeding up and when the particle is slowing down. a) The graph of the position function of a particle is given where t is measured in seconds.
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This note was uploaded on 04/01/2012 for the course MATH 131 taught by Professor Allen during the Fall '08 term at Texas A&M.

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13112an3.14-16 - c Kendra Kilmer February 3 2012 Section 3.8 Rates of Change in the Natural and Social Sciences Example 1 A particle moves

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