(1) The velocity of a car traveling in a straight line, in feet per second, is shown in the table below: 0 5 15 20 25 30

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1 The Velocity Of A Car Traveling In A Straight Line In Feet Per Second Is Shown In The Table Below 0 5 15 20 25 30 1 (36.75 KiB) Viewed 13 times

(1) The velocity of a car traveling in a straight line, in feet per second, is shown in the table below: 0 5 15 20 25 30 35 40 45 50 Time, t (sec) Velocity, v (ft/sec) 0 12 10 20 30 55 70 78 81 b. During what intervals of time is the acceleration of the car positive? 75 c. Find the average acceleration of the car over the interval 0 ≤ t ≤ 50. 60 a. On a sheet of graph paper, sketch a careful graph of this data and draw a smooth curve through the data. 72 d. Approximate the acceleration of the car att = 40 seconds. Explain your calculation (hint: refer to central difference in section 1.5 of the textbook. e. What is the greatest distance the car could have traveled during the period from t = 0 to t = 50 seconds? Comment on any assumptions you are making (hint: consider which endpoints to use, left or right).