A tram starts from rest and moves with uniform acceleration for $$\(20 \mathrm{~s}\)$$. The tram then travels at a constant speed, $$\(V \mathrm{~m} \mathrm{~s}^{-1}\)$$, for $$\(170 \mathrm{~s}\)$$ before being brought to rest with a uniform deceleration of magnitude twice that of the acceleration. The total distance travelled by the tram is $$\(2.775 \mathrm{~km}\)$$. Sketch a velocity-time graph for the motion, stating the total time for which the tram is moving.

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