Question

Sarah is in a kayak 250 m offshore from point A on a straight beach. A storm is brewing and Sarah wishes to go to a shelter located 900 m down the beach from point A. If Sarah can paddle her kayak at 2 km/h and walk at 3 km/h, how far down the shore should she beach her kayak to reach the shelter in the shortest amount of time? Note: Verification that the time is a minimum is not needed for this question.

Answer 1

c roox classmate 250m Date Page B In oroler Host Shorkst time to reach D (Sheltes) 2 say whose the kayak beach is from 'Á balance (900-2) distance shall be soused by 3 kaflar BC distance Cowered by 2kmgh speed. and Shell be S. time Lt Be + 21ms 83 To mis As speed in km/hr 5 misee. here Bca 5250²+x2 T J25o²ta2 xq + (900-x) 5 to get minimum T (time) brt 4 (Critical point) an 1. 2x dT da 뿍 I al + 8 (-) Jasoter 3x 125o²tar (3x)2 2 922 (250²+x2) 2 (250)2 + 2x² =212502 2X (250) 7x² z 250 7 x - 133.63 am je beach B 133.63 from Kayak should point A.