1 A tram starts from rest and moves with uniform acceleration for 20 s . The tram then travels at a constant speed, \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\), for 170 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 km .

1. Sketch a velocity-time graph for the motion, stating the total time for which the tram is moving.
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2. Find \(V\).
3. Find the magnitude of the acceleration.
   \includegraphics[max width=\textwidth, alt={}, center]{e11bebff-1c09-4576-9b9b-a1678ea2b226-03_625_627_260_758} Coplanar forces of magnitudes \(20 \mathrm {~N} , P \mathrm {~N} , 3 P \mathrm {~N}\) and \(4 P \mathrm {~N}\) act at a point in the directions shown in the diagram. The system is in equilibrium. Find \(P\) and \(\theta\).