Kinetic energy of an object changes when the speed of the object doubles why

The plum pudding model of the atom state that ?

Standing side by side ,you and a friend step off a bridge at different times and fall for 1.6s to the water below.your friend goes first,and you follow after he has dropped a distance of 2.0m.when your friend hits the water,is the seperation between the two of you 2.0m or more than 2.0m? verify your answer with a calculation.

Match each scenario to the form of energy it represents