(Solution) - The position of a body oscillating on a spring is given by -(2025 Original AI-Free Solution)

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The position of a body oscillating on a spring is given by x = A sin wt, where A and w are constants with values A = 5 cm and w =0.175 s-1.
(a) Sketch x versus t for 0 ? t ? 36 s.
(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, 3, 2, 1, 0.5, and 0.25 s.
(d) Compute dx/dt and find the velocity at time t = 0.