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Pre-Calc Homework Solutions 86

Pre-Calc Homework Solutions 86 - 86 Section 3.4(b v a s(t...

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26. (a) To graph the velocity, we estimate the slopes at several points as follows, then connect the points to create a smooth curve. To graph the acceleration, we estimate the slope of the velocity graph at several points as follows, and then connect the points to create a smooth curve. (b) } d d s t } 5 30 t 2 3 t 2 [0, 15] by [ 2 300, 100] } d dt 2 2 s } 5 30 2 6 t [0, 15] by [ 2 100, 50] The graphs are very similar. 27. (a) Solving 160 5 490 t 2 gives t 5 6 } 4 7 } . It took } 4 7 } of a second. The average velocity was sec = 280 cm/sec. (b) v 5 s 9 ( t ) 5 980 t a 5 s 0 ( t ) 5 980 The velocity was s 9 1 } 4 7 } 2 5 560 cm/sec. The acceleration was s 0 1 } 4 7 } 2 5 980 cm/sec 2 . (c) Since there were about 16 flashes during } 4 7 } of a second, the light was flashing at a rate of about 28 flashes per second. 28. Graph C is position, graph A is velocity, and graph B is acceleration. A is the derivative of C because it is positive, negative, and zero where C is increasing, decreasing, and has horizontal tangents, respectively. The relationship between B and A is similar.
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