[11 marks] A modied model for the braking distance of a car (see Assignment 1} is the equation for the hurizental displacement, where the friction term is squared [this is more accurate) 2 [a] Use perturbatien techniques ta salve for the displacement as a {11:1ch of time. [b] How is the solution different to that in Assignm'tt 1? A1 Solutions - MAS351 - 2022 y" + Ey = Foe-E " g (0 ) = 0 ; 410 ) = V Initially located at 9=0 and travelling to the night with speed V. Solve homag egn . - fry yepn't M " + EM = 0 => M = 0, - E JA ( # ) = A + Be-Et 2 Part. Soh, try Up (t ) = cert = ) Ce"- Ece = Fet = > E ( 1 - E ) = Fo\fStops if s' ( t ) = 0 So - Et + V C Fo e 1- 5 1- E Will not stop , but e - t and e- Et both O quickly 2 The model is missing a static friction term Doesn't stop in finite time