(a) t1 = 2 to t2 = 6 (b) t1 = 6 to t2 = 10 (c) t1 = 10 to t2 = 11 (d) What observations can you make about how the car’s speed is changing on the time interval from t1 = 2 to t2 = 11 since the car started moving east of the intersection.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A policeman is positioned on a highway without a radar gun. He knows the distance from
the construction zone to an exit is a quarter mile, and the speed limit is 60 mph. He times
a car taking 10 seconds to go the quarter mile. He times a truck taking 12 seconds to go
the quarter mile. Could he ticket them for speeding?

Given that a car’s distance in feet east of an intersection t seconds since it started moving
is represented by d = t2 −2t, determine the car’s average speed over each interval of elapsed
time.
(a) t1 = 2 to t2 = 6
(b) t1 = 6 to t2 = 10
(c) t1 = 10 to t2 = 11
(d) What observations can you make about how the car’s speed is changing on the time
interval from t1 = 2 to t2 = 11 since the car started moving east of the intersection.

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