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The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 1 2 3 4 5 6 s (feet) 0 4.9

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The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 1 2 3 4 5 6 s (feet) 0 4.9 10.6 23.1 50.2 109.2 237.3 (a) Find the average velocity (in ft/s) for each time period. (i) [2, 4] 19.8 ft/s (ii) [3, 4] 27.1 ft/s (iii) [4, 5] 59 ft/s (iv) [4, 6] 93.55 ft/s (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t = 3. (Round your answer to one decimal place.) 25 x ft/s

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