A barge on a still lake is moving toward a bridge at 10.0 m/s. When the bridge is 40.0 m away, the pilot slows the boat with a constant acceleration of -0.73 m/s². 

(a) Use Equation 3.3 to find the time it takes the barge to reach the bridge. Note that you will obtain two answers! Do both calculated times correspond to possible physical situations? 

(b) Find the final velocity for each time using Equation 3.1. 

(c) For each set of answers for t and v, sketch plots of velocity versus time and position versus time, and use them to describe the two situations.