A car of mass $600{\text{ }}kg$ travels along a horizontal straight road, with its engine working at a rate of $40{\text{ }}kW$. The resistance to motion of the car is constant and equal to $800{\text{ }}N$. The car passes through the point $A$ on the road with speed $25{\text{ }}m{\text{ }}{s^{ - 1}}$. The car’s acceleration at the point $B$ on the road is half its acceleration at $A$. Find the speed of the car at $B$.
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