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In a car race, car A takes a time of t ...

In a car race, car A takes a time of t s less than car B at the finish and passes the finishing point with a velocity v m/s more than the car B. Assuming that the cars start from rest and travel with constant acceleration `a_1` and `a_2` respectively, velocity v is given by

A

`sqrt(a_1 a_2) t`

B

`sqrt2 (a_1 a_2t^2)^(1/2)`

C

`sqrt(a_1a_2)t

D

`a_1 sqrt(a_2 + t^2)`

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