3 A car travels along a straight road with constant acceleration. It passes through points \(A , B\) and \(C\). The car passes point \(A\) with velocity \(14 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The two sections \(A B\) and \(B C\) are of equal length. The times taken to travel along \(A B\) and \(B C\) are 5 s and 3 s respectively.

1. Write down an expression for the distance \(A B\) in terms of the acceleration of the car. Write down a similar expression for the distance \(A C\). Hence show that the acceleration of the car is \(4 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
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2. Find the speed of the car as it passes point \(C\).