Question

Problem 5. Grant's only option for crossing the water is swimming at 2 km/hr, once on land he can travel 6 km/hr along the beach.To what point along the beach should Dr. Grant swim to to minimize his total travel time from the island Dr. Grant is attempting to get from an off shore island to a Compsoqnathusnest. Dr. to the nest? island 5 km nest 13 km small, bipedal. carnivorous theropod dinosaurs, the largest of these could grow to the size of a turkev. A genus time snent wimmine t time spent walking will brmeti vield the toteal time eauntion Yau max then fGnd the imim

Answer 1

Solution

According to the diagram let BC=x

So distance travelled by grant from island to shore will be dater = V25 2

and distance travelled by grant along the shore will be diand = 13- T

diand + 6 dpater Hence, the total time taken by grant will be, t

r)V25 2 13 r t(x) 6

to be minimum ()0

(r) 0 6 2225

Va225

25 = 9x2

2-25=0 25 0

5 = ±- 2/2 8. 25

since x cannot be negative hence, 2/2 LO