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Romeo is at x 0 at t 0 when he sees Juliet at 6m a He begins to run towards her at v 5m s She in turn begins to accelerate towards him at

Romeo is at x = 0 at t = 0 when he sees Juliet at x = 6m. (a) He begins to run towards her at v = 5m=s. She in turn begins to accelerate towards him at a = ¡2m=s2. When and where will they cross? Sketch their motions measuring time horizontally and position vertically. (b) Suppose instead she moved away from him with positive acceleration a. Find amax, the maximum a for which he will ever catch up with her. For this case ¯nd the time t of their contact. Show that for smaller values of a these star crossed lovers will cross twice. Draw a sketch for this case. Explain in words why they cross twice.
 

Jun 19 2020 View more View Less

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