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An object P travels from A to B in a time of 80 s. The diagram shows the graph of v against t, where vm s−1 is the velocity ofP at time ts after leaving A. The graph consists of straight line segments for the intervals 0 ≤ t ≤ 10 and 30 ≤ t ≤ 80, and a curved section whose equation is v = −0.01t 2 +0.5t−1 for 10 ≤ t ≤ 30. Find i) the maximum velocity of P ii) the distance AB
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