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Problems Involving Motion - Word Problems:
How far can a car travelling at a rate of 52 miles per hour travel in 2½ hours?
Solution:
Using Equation 13:
s = vavt
s = (52 miles/hour)(2½ hours)
s = 130 miles
Example:
How long does it take a plane travelling at 650 miles per hour to go 1430 miles?
Using Equation 14:
s = (52 miles/hour) (2 ½ hours)
s= 130 miles
t = s/vav
t = 1430 miles/650 (miles/hour)
t = 2.2 hours
Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q
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