A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in the figure. The vertical height above ground level at position A is 200 m. Neglect friction. 
(a) What is the total mechanical energy of the roller coaster at point A?
(b) What is the total mechanical energy of the roller coaster at point B?
(c) What is the speed of the roller coaster at point B?
(d) What is the speed of the roller coaster at point C?
Definitions:
Linear Function
A mathematical equation that produces a straight line on a graph, typically described with the formula y = mx + c, where m is the slope and c is the y-intercept.
Independent Variables
Variables in an experiment that are manipulated or changed to observe their effect on dependent variables.
Independent Variables
Variables in an experiment or statistical model that are manipulated or categorized to observe their effect on dependent variables.
Degrees Of Freedom
The number of independent values or quantities which can vary in the analysis without violating any constraints.
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