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The displacement relative to the starting line of a toy car moving along a track as a function of time is given by f (t).
The displacement relative to the starting line of a toy car moving along a track as a function of time is given by f (t). Displacement is measured in feet and the time, t, is measured in seconds. At time t = 5 seconds it is observed that f (5) = 21 feet and f '(5) = 3 feet/sec. Furthermore, it is known that f"(t) = 0.2 feet/sec2 for all t in the interval [5, 7]. Select the true statement from the list below. C :' At time t = 7 the car is moving faster than it is at time t = 5. x Correct Answer: Between t = 5 and t = 7 the car moves less than 6 feet. C , The displacement of the car at t = 6 is less that 21 feet. '5' 751' The displacement of the car in the time interval [5,7] is greatest at t = 5. If '3' In the time interval [5, 7] the car is moving most slowly at t = 5. 7 ' None of the others '/ , :' Between t = 5 and t = 7 the car moves exactly 6 feet. '/ , :' Between t = 5 and t = 7the car moves less than 6 feet
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