quiz7_Solution - t'l,O I't\v-ap I gg\ffi a*tCr = c^gt,w&...

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Math 242, Spring }OIL Quiz 7 1. (10 points) Suppose that a car starts from rest, its engine providing an acceleration of L0 f t f s2 , while air resistance provides a deceleration of (0.025)u2 ftl"'when the car's velocity is u feet per second. Find the car's maximum possible (limiting) velocity. Hint: You may find the following integration formula useful: I#r:*"l\l.' ,j'dl+ \ V\ *)+l^ '"$du.l P"tlt'h'n^ r/ do) = o . {erL" e*v{s+.*- *'r+) -- *t Cr = ! r/+, 4A d," t \ \
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