Let's choose the rightwards as the positive direction. Then, we can find the velocity and direction of the resulting combined mass from the law of conservation of momentum:
m1v1−m2v2=(m1+m2)vc,vc=m1+m2m1v1−m2v2.Since m1=4m2 we get:
vc=4m2+m24m2v1−m2v2=5m2m2(4v1−v2)=54v1−v2,vc=54⋅10 sm−20 sm=4 sm.The sign plus means that the velocity of the resulting combined mass directed to the right.
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