Question: motion defined parametrically 3. A particle moves in the plane so that its position is given by x(?) = rand r() = (r - 1)(1

motion defined parametrically

3. A particle moves in the plane so that its position is given by x(?) = rand r() = (r - 1)(1 + b) for 0 5/5 5. The position of the particle at / = 0 is (0,5). Assume that x and )' are measured in centimeters and that / is measured in seconds. a) Find b. b) Graph the path of the particle. c) The equation for r in terms of / is x() - 1. What is the rate of change of x with respect to ,? Be sure to state the units. d) This particle is always moving to the right. How is this confirmed by the answer in 3c? e) Approximate the total distance traveled using At = 1 beginning at / - 0 and ending at / - 5. Approximate the average speed of the particle over 0

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