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Homework16 - Name Homework 16 Section 4.8 1(12 Suppose that...

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Unformatted text preview: Name Homework 16 Section 4.8 1. (12) Suppose that a particle moves according to the equations 10 1 x = t4 − t3 + 6t2 − 7, 2 3 where the y -axis is vertical and the x-axis y = 2t3 − 9t2 + 12, is horizontal. (a) Does the particle ever come to a stop? If so, when and where? (b) Is the particle ever moving straight up and down? If so, when and where? (c) Is the particle ever moving straight horizontally? If so, when and where? (d) What is the speed of the particle at 2. (4) Find (−3, 2) three and t = −1? [It's okay to omit units this time] distinct parameterizations of the line which passes through the points (1, 10). 3. (4) Use the graphs of position at time t indicate direction. f and g below to describe (sketch) the motion of a particle whose is given by x = f (t) and y = g (t). Be sure to include arrows to ...
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