Velocity of an oscillator An object oscillates along a

Chapter 3, Problem 69

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Velocity of an oscillator An object oscillates along a vertical line, and its position in centimeters is given by y1t2 = 30 1sin t - 12, where t 0 is measured in seconds and y is positive in the upward direction. a. Graph the position function, for 0 t 10. b. Find the velocity of the oscillator, v1t2 = y_1t2. c. Graph the velocity function, for 0 t 10. d. At what times and positions is the velocity zero? e. At what times and positions is the velocity a maximum? f. The acceleration of the oscillator is a1t2 = v_1t2. Find and graph the acceleration function.

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