The position of a particle as a function of time is given by x = (2.0 m/s)t + (–3.0 m/s3)t3. (a) Plot x versus t for time from t = 0 to t = 1,0 s. (b) Find the average velocity of the particle from t = 0.35 s to t = 0.45 s. (c) Find the average velocity from t = 0.39 s to t = 0.41 s. (d) Do you expect the instantaneous velocity at t = 0.40 s to be closer to 0.54 m/s, 0.56 m/s, or 0.58 m/s? Explain.
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