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 $$\(2 \mathrm{~m} \mathrm{~s}^{-2}\)$$ from rest to a speed of $$\(20 \mathrm{~m} \mathrm{~s}^{-1}\)$$ over a period of $$\(T\)$$ s. It then decelerates at a constant rate for 5 seconds before travelling at a constant speed of $$\(V \mathrm{~m} \mathrm{~s}^{-1}\)$$ for $$\(27.5 \mathrm{~s}\)$$. The car then decelerates to rest at a constant rate over a period of $$\(5 \mathrm{~s}\)$$. Find $$\(T\)$$ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Answer:

Knowledge points:

Solution: