Find the fastest path Crash can take to the finish the race. (Don't forget to definitively show that the path you found is the fastest way for Crash to finish the race.) 20+7h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help i know the relationship is the Total area= x/120+y/72

 

Problem 3:
Crash is in the lead and 1000 ft from the finish line when disaster strikes! His kart spins off the
road and into the grass. It comes to a rest 620 ft away from the road as shown below:
- Finish
Line
|000 ft
620 ft
To recover and finish the race as quickly as possible, Crash will drive in a straight line back to
the road and then take the road straight to the finish line. Crash can drive 120 ft/sec along the
road, but only 72 ft/sec in the grass.
Find the fastest path Crash can take to the finish the race. (Don't forget to definitively show
that the path you found is the fastest way for Crash to finish the race.)
120+72
Transcribed Image Text:Problem 3: Crash is in the lead and 1000 ft from the finish line when disaster strikes! His kart spins off the road and into the grass. It comes to a rest 620 ft away from the road as shown below: - Finish Line |000 ft 620 ft To recover and finish the race as quickly as possible, Crash will drive in a straight line back to the road and then take the road straight to the finish line. Crash can drive 120 ft/sec along the road, but only 72 ft/sec in the grass. Find the fastest path Crash can take to the finish the race. (Don't forget to definitively show that the path you found is the fastest way for Crash to finish the race.) 120+72
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