In this question, you will have to compare two collisions of an egg with the ground. In one case, the egg collides is dropped from a 5-meter height. In the other case, the egg is dropped from a 1-meter height. Here's how to think about the physics of these collisions:
The Variable
First you must determine what the variable is. It is either the velocity change (Delta V), the collision or contact time, or the mass of the eggs. The question tells you the two eggs have the same mass and that the collision time is the same for each. So by careful reading and the process of elimination, the variable in these collisions is the velocity change. When an egg is dropped from a higher height, it reaches a greater speed before hitting the ground. So the egg dropped from 5 meters has a greater velocity when it strikes the ground. It thus experiences the greater velocity change during the collision.
Momentum Change and Impulse
You will also have to compare the momentum change and the impulse encountered by these two eggs. The momentum change is your starting point. Momentum change is the mass multiplied by the velocity change. You have just determined that the egg dropped from 5 meters has the greater velocity change. And since the two eggs have the same mass, it is the egg dropped from 5 meters that will have the greater momentum change.
In any collision, the momentum change is equal to the impulse. So if the egg dropped from 5 meters has the greater momentum change, it will also have the greater impulse.
Force
Finally, you will have to use F•∆t = m•∆v to compare the Force experienced by the egg in the two collisions. So the force is the momentum change divided by the collision time ... that is, m•∆v/∆t. The numerator in this expression is the momentum change (m•∆v). You have just determined that it is greatest for the egg dropped from 5 meters. The collision time (∆t) is the same for each Case. So the Case with the greatest momentum change is the Case with the greatest Force. The egg dropped from 5 meters wins again; it experiences the greatest Force.