MULTISTEP The position of a body oscillating on a spring
Chapter , Problem 114(choose chapter or problem)
MULTISTEP The position of a body oscillating on a spring is given by x _ A sin vt, where A and v (lower case Greek omega) are constants, A _ 5.0 cm, and v _ 0.175 s_1. (a) Plot x as a function of tfor . (b) Measure the slope of your graph at t _ 0 to find the velocity at this time. (c) Calculate the average velocity for a series of intervals, beginning at t _ 0 and ending at t _ 6.0, 3.0, 2.0, 1.0, 0.50, and 0.25 s. (d) Compute dx/dt to find the velocity at time t _ 0. (e) Compare your results in Parts (c) and (d) and explain why your Part (c) results approach your Part (d) result.
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