The diagram shows a velocity-time graph which models the motion of a car. The graph consists of four straight line segments. The car accelerates at a constant rate of $$\(2 \mathrm{~m} \mathrm{~s}^{-2}\)$$ from rest to a speed of $$\(20 \mathrm{~m} \mathrm{~s}^{-1}\)$$ over a period of $$\(T\)$$ s. It then decelerates at a constant rate for 5 seconds before travelling at a constant speed of $$\(V \mathrm{~m} \mathrm{~s}^{-1}\)$$ for $$\(27.5 \mathrm{~s}\)$$. The car then decelerates to rest at a constant rate over a period of $$\(5 \mathrm{~s}\)$$. Given that the distance travelled up to the point at which the car begins to move with constant speed is one third of the total distance travelled, find $$\(V\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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