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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
Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0 y′ (0)=-7 Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0
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