The figure below shows four graphs of position versus time for two bodies and th

Question

The figure below shows four graphs of position versus time for two bodies and their center of mass. The two bodies form a closed, isolated system and undergo a completely inelastic, one-dimensional collision on an x axis.



heres the link to the graphs
http://www.webassign.net/hrw/10_27.gif


(a) In graph 1, are the two bodies moving in the positive or negative direction of the x axis?

positive
negative

(b) In graph 1, is the center of mass moving in the positive or negative direction of the x axis?

positive
negative

(c) Which graphs correspond to a physically impossible situation?
1 and 2
3 and 4
1 and 4
2 and 3


Explain your answer to part (c).


Note
i figured out that a and b are positive but dont know c. Help please and with explanations too. thakns.

Explanation / Answer

c)2 and 3 are impossible.

For 2, from t=0 to the point of colliion, the centre of mass lies outside the line joining two masses which is impossible.

For 3, the centre of mass has a positive velocity (slope is positive) when both of the particles have a negative velocity which is impossible.

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