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In a car race on straight road, car A takes a time $t$ less than car B at the finish and passes finishing point with a speed ‘$v$’ more than of car B. Both the cars start from rest and travel with constant acceleration $a_1$ and $a_2$ respectively. Then ‘$v$’ is equal to:
(1) $\frac{2a_1 a_2}{a_1 + a_2},t$
(2) $\sqrt{2a_1 a_2};t$
(3) $\sqrt{a_1 a_2};t$
(4) $\frac{a_1 + a_2}{2},t$
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