A car starts from rest and moves in a straight line with constant acceleration $$\(a \mathrm{~m} \mathrm{~s}^{-2}\)$$ for a distance of $$\(50 \mathrm{~m}\)$$. The car then travels with constant velocity for $$\(500 \mathrm{~m}\)$$ for a period of $$\(25 \mathrm{~s}\)$$, before decelerating to rest. The magnitude of this deceleration is $$\(2 a \mathrm{~m} \mathrm{~s}^{-2}\)$$. Find the total time for which the car is in motion. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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