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**I need help with a problem from yale physics open courseware??**

## Homework Statement

Romeo is at x=0m at t=0s when he sees juliet at x=6m.

a) romeo begins to run towards her at v = 5 m/s. Juliet, in turn begins to accelerate towards him at a =-2m/s^2. when and where will they cross?

b) suppose, instead, that juliet moved away from romeo with positive acceleration a. Find a(max), the maximum acceleration for which romeo can catch up with her. for this case find the time t of their meeting. show that for smaller values of a these star-crossed lovers cross twice.

## Homework Equations

## The Attempt at a Solution

i have no idea how to start this answering this question, im trying to prepare myself for my physics class im taking next semester, i just need some explanation on how to about solving the question.

i was thinking for a) that their time would be the same when they meet each other.