Final answer:
In the given options, group a's data agree with both momentum and kinetic energy being conserved, while group d's data agree with neither being conserved.
Step-by-step explanation:
In this case, group a's data agree with both momentum and kinetic energy being conserved. This is because momentum is conserved when the total momentum before an event or interaction is equal to the total momentum after the event or interaction. Similarly, kinetic energy is conserved when the total kinetic energy before an event or interaction is equal to the total kinetic energy after the event or interaction. Since group a's data satisfies these conditions, it agrees with both momentum and energy being conserved.
On the other hand, group d's data agree with neither momentum nor kinetic energy being conserved. This is because both momentum and kinetic energy are not conserved when the total momentum and total kinetic energy before an event or interaction are not equal to the total momentum and total kinetic energy after the event or interaction. Since group d's data does not satisfy these conditions, it does not agree with either momentum or energy being conserved.
Groups b and c have one of the properties conserved and the other not. For example, group b agrees with momentum being conserved but not with kinetic energy being conserved. Conversely, group c agrees with kinetic energy being conserved but not with momentum being conserved.