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18 September, 2013 Homework 9 Math 1100 Name: The questions on this quiz are cluite similar mathematically to the ones in section 9.9 in your book, but in the context of a physics rather than a financial application. Think carefully about your interpretations. Suppose a particle moves along a straight line. The distance it has travelled in feet after t seconds is given by p(t) = + 6t 2+4 1. (4 points) Find p(4). Explain what it represents. .q ((i..fl’Z . 4 ( £14I 4i—. jLj èd hv-. 1.c 2. (4 points) Find the velocity function v(t). v(t) p’(t) j2.L 3. (2 points) Find the velocity of the particle at time t 3(Lj)tf = 4. ui) 4. (2 points) What does you answer to question 3 predict about the motion of the particle in the next second? Tkt v’c.f pchi w11 5econ. ‘ . ir ii 5. (2 points) What does your answer to question 3 predict about the motion of the particle in the next 4 seconds? Gi it pc4-r&le r-e 1 v1clS) LI 6. (4 points) Find p(5) — 01/er- 5L 0 p(4). Explain what it represents. 1ss)t i) p( p(Li) 4-,/ 0 t- — prhle Dfl1 e.á. 115 7. (4 points) Find p(8) — p(4). Explain what it represents. (YL pft)- pl’) — f 3 { (Lf) Li] 73’ -n-i is .c.hioi 73 ft ‘€ yl1 a porcihLc P—L 8. (4 points) What do your answers to questions 4—7 tell you about using derivatives to estimate functions? I*C pctvif j, h-t d e Lh h 1 o dJrc*f (fl-r fCUVl’l S 4-’i 1A ?°‘ fr - 6ecove