Hey! Just got this answer, thanks! But I still need to find b as a function of v (b(v)) as explaind in task (i) 19:05 PAnswered: Donald play...bartleby.com= bartlebyQE Q&AMath / Advanced M... / Q&A Libr... / Donald plays monop...Donald plays monopoly and get "go dire...Donald plays monopoly and get "go direct toprison". He wants to go to the prison as fast aspossible, but discovers there is a swamp betweenhim and the prison. Donald is in the point (2, 0)and the prison (-2, 0), and the swamp inside thecurve Ixl + lyl = 1. Donald moves with a speed 1outside the swamp, and constant speed v>0 inthe swamp.What can the speed in the swamp be if:(i) The fastest way involves to start by goingstraight forward to a point (a, b) at the edge of theswamp with 0 < Ibl < 1(se picture) if so , fin b as afunction of v and draw the graph.(ii) the fastest way is to go outside the swamp (b=+- 1)?(iii) The fastest way is to go straight through theswamp (b= 0)?The task: Explain that the picture shows donaldspath in case (i) and the time he uses can be givenas a function of bt(b) = 2 *V(1+2b+2b²) +2 *((1-b)/v)SwAMBPRISON 19:05 E= bartlebyE Q&A A eMath Advanced M... /Q&A Libr... /Donald plays monop.Donald plays monopoly and get "go dire...Solution:Donald plays monopoly and get "go direct toprison". He wants to go to the prison as fast aspossible, but discovers there is a swamp betweenhim and the prison. Donald is in the point (2, 0)and the prisun 2, 0), and the swamp inside thecurve Ixl + lyl = 1. Donald moves witha speed 1outside the swamp, and constant speed v-0 inthe swarmp.What can be the speed in the swamp be if:li) The fastest way involves to start by goingstraight forward to a point (a, b) at the edge of thesawamp with D< Ibl < 1(see picture) if so , fin b as afunction of v and draw the graph.The distance covered outside the swamp from (2,0) to (a, b) is d = V + (a – 2As Donald moves with a speed 1 outside theswamp, the time taken becomes2 = = Vi + (a - 2)The distance covered inside the swamp from (a,bị to (-a, bị is d = vo' + (-a - a) = 20 .As Donald moves with constant speed v-0 in theswamp, the time taken becomes 12 = - .Further we haveThe distarnce covered outside the swamp frorm (-a, b) to ( 2,0) is di = v + (a – 2)As Donald moves with a speed 1 outside theswamp, the time taken becomes= = Vi + (a - 2Total time taken:i=1 + +i=V + (a - 2 ++ v + le - 27=v +(1 - 5 - 2y + - + V+ (1 -- 2)21-+ V + (1 - - 2)221-=2V1 + 2 + 26 + -As the distance in the swamp covered isd; = 2(1- b) , the speed when 0< |b| < 1 becormesObtain the time and speed in the swamp:When b-0: =2y1 + 2(0) +2 (0) + AS = 2+The speed whenb=0 becomes-.When b-1: =2v1 + 2(1) + 20) + " - zy5The speed whenb-1 becomes - 0.When b=-1:1=2y1+ 21-1)" + 2(-1) + 2 = 2 +21-:-1The speed whenb=1 becomesWas this solution helpful?Q& AStuck on your homework?Aska Question. Cet an expertly curated answerAak an Expert20 of 30 questions lelt

Name: Hey! Just got this answer, thanks! But I still need to find b as a fun
Uploaded: 2024-03-05T11:52:21.000Z
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Description: Hey! Just got this answer, thanks! But I still need to find b as a function of v (b(v)) as explaind in task (i) 19:05 PAnswered: Donald play...bartleby.com= bartlebyQE Q&AMath / Advanced M... / Q&A Libr... / Donald plays monop...Donald plays monopoly