A sprinter in a $100-$m race accelerates uniformly for the first $35$ m and then runs with constant velocity. If the sprinter$$s time for the first $35$ m is $5\mathrm{.}4$ s$,$ determine $($a$)$ his acceleration, $($b$)$ his final velocity, $($c$)$ his time for the race. $11\mathrm{.}39$ Automobile A starts from O and accelerates at the constant rate of $0\mathrm{.}75$ m$/$s$2.$ A short time later it is passed by bus B$,$ which is traveling in the opposite direction at a constant speed of $6$ m$/$s$.$ Knowing that bus B passes point O $20$ s after automobile A started from there, determine when and where the vehicles passed each other. A B A B