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 that of car B. Both the cars start from rest and travel with constant acceleration \({{\rm{a}}_1}\) and \({{\rm{a}}_2}\) respectively. Then ‘v’ is equal to:

\(\frac{{2{a_1}{a_2}}}{{{a_1} + {a_2}}}t\)

In a car race on straight road, car A takes a time ‘t’ less than c

1.	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 that of car B. Both the cars start from rest and travel with constant acceleration \({{\rm{a}}_1}\) and \({{\rm{a}}_2}\) respectively. Then ‘v’ is equal to:
A.	\(\frac{{2{a_1}{a_2}}}{{{a_1} + {a_2}}}t\)
B.	\(\sqrt {2{a_1}{a_2}} t\)
C.	\(\sqrt {{a_1}{a_2}} t\)
D.	\(\frac{{{a_1} + {a_2}}}{2}t\)
Answer» D. \(\frac{{{a_1} + {a_2}}}{2}t\)

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