Grace and Hannah are both driving alongthe same highway in two different cars to astadium in a distant city. At noon, Grace is250 miles away from the stadium andHannah is 306 miles away from thestadium. Grace is driving along thehighway at a speed of 40 miles per hourand Hannah is driving at speed of 54 milesper hour. Let G represent Grace'sdistance, in miles, away from the stadiumt hours after noon. Let H representHannah's distance, in miles, away fromthe stadium t hours after noon. Write anequation for each situation, in terms of t,and determine the number hours afternoon, t, when Grace and Hannah are thesame distance from the stadium.G =H =Answer:

Grace and Hannah are both driving toward a stadium with speeds of 40 miles/hr. and 54 miles/hr.…

Answered: Grace and Hannah are both driving along…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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use the Y axis to represent distance and the X axis to represent time. Four race cars are heading for the finish line. Car 11 is in the lead and has 1.2 miles to go. But he has engine trouble and is only traveling at a speed of 130 mph. How long before car 11 crosses the finish line (where distance remaining = 0). Car 32 is in second and is .1 miles behind Car 11 (he has 1.3 miles to go). He is traveling at a speed of 140 mph. Add that line to your graph. Car 53 is in third and is .3 miles behind the leader (1.5 miles to go). He is traveling at a speed of 165 mph. Car 94 is in last place, and is .5 miles behind the leader (1.8 miles to go). He is gaining fast, at a speed of 185 mph. Remember, the x axis is time, and the y axis is distance to go. The winner will be_______________________ Second place will go to ____________________________…
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