An object P travels from A to B in a time of 80 s. The diagram shows the graph of v against t, where v m s^-1 is the velocity of P at time t s 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 = -0.01t² + 0.5t - 1 for 10 ≤ t ≤ 30. Find

1. the maximum velocity of P,
2. the distance AB.