Across a horizontal distance of 25 feet, a roller coaster has a steep drop. the height of the roller coaster at the bottom of the drop is -125 feet, compared to its height at the top of the drop. what is the average amount that the roller coaster's height changes over each horizontal foot?

X = total horizontal distance = 25 ft

Y = total vertical distance = 125 ft

x = horizontal distance = 1 ft

y = vertical distance = ?

using the equation

y = (Y/X) (x)

inserting the values

y = (125/25) (1)

y = 5 ft

hence for each horizontal foot, the average height change is 5 ft

or

25 ft horizontal distance traveled = 125 ft vertical distance dropped

dividing both side by 25

25 ft horizontal distance traveled/25 = 125 ft vertical distance dropped/25

1 foot horizontal distance traveled = 25 ft vertical distance dropped

what experimental evidence led scientists to change from the previous model to this one?

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the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.