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2. The company Oxylium offers hot air balloon rides to its customers. Last weekend, Orville and his brother Wilbur paid for a 2 hour ride. The balloon took off on a hill situated 50 meters above sea level. The vertical velocity v(t) of the balloon, measured in meters per minute, has been sketched on the graph below for the first 60 minutes of the ride. u(t) (m/min) 40 30+ 20 10 0 5 10 15 20 25 30 40 45 50 55 60 -10 t (min) -20 (a) (4 points) What is the maximal height (with respect to sea level) that Orville and Wilbur reached during the first hour of their ride? Show your reasoning in the box below. The maximum height is meters. Page 3