3. /12 points UWAPreCalc1 2.P.005. My N Suppose two cars depart from a four-way

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3. /12 points UWAPreCalc1 2.P.005. My N Suppose two cars depart from a four-way intersection at the same time, one heading north and the other heading west. The car heading north travels at the steady speed of 40 ft/sec and the car heading west travels at the steady speed of 62 ft/sec (a) Find an expression for the distance between the two cars after t seconds. (Round your coefficients to one decimal place as needed.) ft (b) Find the distance in miles between the two cars after 5 hours 13 minutes. (Round your answer to one decimal place.) mi (c) When are the two cars 1 mile apart? (Round your answer to one decimal place.) sec Submit AnswerSave Progress

Explanation / Answer

After t secs first car is at 40t ft and second car is at 62t ft

Distance between them

d=((40t)2+(62t)2)=t (5444)=2t 1361

b. Number of seconds in 5 hour 13 mins=5*3600+13*60

=18780secs

d=18780*21361ft

d=37560(1361)/5280=262.4miles

c. 5280=2t1361

t=2640/1361=71.6sec

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