Two particles heading toward each other

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SUMMARY

Two particles, initially 0.70 km apart, move towards each other at speeds of 2.5 m/s and 4.5 m/s. They close the distance at an effective speed of 7 m/s, resulting in a meeting time of 100 seconds, or 1.67 minutes. The meeting point occurs 250 meters from the slower particle's starting position and 450 meters from the faster particle's starting position.

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Homework Statement


The initial distance between two particles is 0.70 km. The particles head towards each other at speeds of 2.5 m/s and 4.5 m/s, respectively.

Homework Equations


a)When will they meet?
b)Where will the meeting take place?

The Attempt at a Solution


a)
they are closing at a speed of 2.5+4.5=7m/s (which we call the effective speed)
t=700/7 = 100 s.
so they will meet after 1.67 mins.

b)
x1=2.5*100=250m
x2=4.5*100=450m
the meeting will take place 250m from where the slower particle started and 450m from where the faster particle has started.
 
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