A car racing at 100 ft/sec brakes to a complete stop in 12 seconds. Its velocity is recorded every 2 seconds, as follows: 0 2 4 6 8 10 12 v(t) (ft/sec) 100 | 90 75 55 30 | 10 | 0 t (seconds) (a) Give lower and upper estimates for the distance the car traveled in those 12 seconds.
A car racing at 100 ft/sec brakes to a complete stop in 12 seconds. Its velocity is recorded every 2 seconds, as follows: 0 2 4 6 8 10 12 v(t) (ft/sec) 100 | 90 75 55 30 | 10 | 0 t (seconds) (a) Give lower and upper estimates for the distance the car traveled in those 12 seconds.
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Transcribed Image Text:A car racing at 100 ft/sec brakes to a complete stop in 12 seconds. Its velocity is recorded
every 2 seconds, as follows:
0 2 46 8 10 12
v(t) (ft/sec) 100 | 90 75 55 30 10 0
t (seconds)
(a) Give lower and upper estimates for the distance the car traveled in those 12 seconds.
(b) On a sketch of velocity against time, show the lower and upper estimates of part (a).
(c) To estimate the distance traveled accurate to within 5 feet, how often should one record
the velocity?
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