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. Find amax the maximum acceleration for which he will ever catch up with her. For this case find the time of their contact. Draw a sketch for this case Please show work

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. Find amax the maximum acceleration for which he will ever catch up with her. For this case find the time of their contact. Draw a sketch for this case Please show work

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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. Find amax the maximum acceleration for which he will ever catch up with her. For this case find the time of their contact. Draw a sketch for this case Please show work.
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