Based on the diagram below, what is the acceleration, in m/s2, of the Mother once she begins to move backwards after being pushed?

The mother is 100N pushing on her daughter with 15N and the daughter is 50N pushing on her mom with 15N

To determine the acceleration of the mother once she begins to move backwards after being pushed, we need to consider Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

The net force acting on the mother can be found by subtracting the force exerted by the daughter from the force exerted by the mother:
Net force on mother = Force exerted by mother - Force exerted by daughter
Net force on mother = 100 N - 15 N
Net force on mother = 85 N

Now, we need to calculate the acceleration of the mother. We can use the formula:

Acceleration (a) = Net force (F) / Mass (m)

However, the mass of the mother is not given in the question. Therefore, we cannot determine the exact value of the acceleration without that information.