Answer to Question #11477 in Mechanics | Relativity for jo
a·Ta = |b|·Td
Also we know that
Ta + Td = T.
Td = T - Ta = a·Ta/|b| ==> Ta(a/|b|+1) = T ==> Ta = T/(a/|b|+1),
and the maximum velocity of a car is
Vmax = a·T/(a/|b|+1).
The total travelled distance is
D = Da + Dd = a·Ta²/2 + b·Td²/2 = a·Ta²/2 + b·(T-Ta)²/2 = a·(T/(a/|b|+1))²/2 + b·(T-T/(a/|b|+1))²/2
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