Collision Course A useful rule of thumb in boating is that if the heading from your boat to a second boat remains constant, the two boats are on a collision course. Consider the two boats shown in Figure 4-23. At time f = 0, boat 1 is at the location (X, 0) and moving in the positive y direction; boat 2 is at (0, Y) and moving in the positive x direction. The speed of boat 1 is u1 (a) What speed must boat 2 have if the boats are to collide at the point (X, Y)? (b) Assuming boat 2 has the speed found in part (a), calculate the displacement from boat 1 to boat 2, . (c) Use your results from part (b) to show that , independent of time. This shows, that maintains a constant direction until the collision, as specified in the rule of thumb.
FIGURE 4-23
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