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Math · Calculus
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0 5 25 30350 60 -20 3020 14 10 010 sec v(t) (ft/sec) atr) (/w?)2 242 (n/see2) 3. A car travels on a straight track. During the time interval 0 s t s 60 seconds, the cars velocity v, measured in feet per second, and acceleration a, measured in feet per second per second, are continuous functions. The table shows selected values of these functions. a) Using appropriate unis, explain the meaning of S3olv(O)l dt in terms of the 60 30 cars motion. Approximate 3o v()I dt using a trapezoidal approximation with the three subintervals determined by the table. 60 b) Using appropriate units, explain the meaning of fo0 a(t) dt in terms of the c) For 0 < t < 60, must there be a time t when v(t)--5? Justify your d) For 0< t<60, must there be a time t when a(t) 0? Justify your answer. cars motion. Find the exact value of alt) dt answer.
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