Calculating Velocity of Student in a Horizontal Throw | Physics Force Question

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Homework Statement

while standing on a horizontal frictionless surface, a 45kg student throws a 3.0kg object to her right. during the throw the object was accelerated horizontally through a distance of 0.6meters from rest to a velocity of 9.6m/s.

what was the velocity of the student when the object was released?

 

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Homework Statement

while standing on a horizontal frictionless surface, a 45kg student throws a 3.0kg object to her right. during the throw the object was accelerated horizontally through a distance of 0.6meters from rest to a velocity of 9.6m/s.

what was the velocity of the student when the object was released?

momentum must be conserved.

$$p = mv$$
$$P_i=P_f$$

Remember that momentum is a vector, so signs matter. This will be used in this solution when you try to find the velocity of the student that would bring the final sum to zero.