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An object’s position is given by x = bt + ct3 where b = 1.50 m/s, c = 0.640 m/s3, and t is time in seconds. To study the limiting process leading to the instantaneous velocity, calculate the object’s average velocity over time intervals from (a) 1.00 s to 3.00 s, (b) 1.50 s to 2.50 s, and (c) 1.95 s to 2.05 s, (d) Find the instantaneous velocity as a function of time by differentiating, and compare its value at 2 s with your average velocities.
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