A circular racetrack of radius 300 m is banked at an angle of 15°. If the coefficient of friction between the wheels of the race car and the road is 0.2. Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping. (Take, `g = 9.8 ms^(-2) and tan 15° = 0.27`)
Options:
(a) `v_o =48 ms^(-1) v_('max') = 60 ms^(-1)`
(b) `v_o=28.1 ms^(-1), v_('max')= 38.1 ms^(-1)`
(c) `v_o =62.2 ms^(-1) v_('max') =73.4 ms^(-1)`
(d) None of the above