The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula v = 8 gives the relationship between maximum velocity, v (in feet per second), and height, h (in feet).

I have V=�ã203-8=�ã195=13.96 Am I correct

If the formula is

v = √(h-8)

then you are correct:

√(203-8) = √195 = 13.96

To determine if your calculation is correct, we need to check whether the value of v obtained from the given formula v = 8√h matches your calculation using h = 203.

Plugging in h = 203 into the formula:
v = 8√203
v ≈ 8 × 14.24
v ≈ 113.92

Therefore, the maximum velocity should be approximately 113.92 feet per second, not 13.96 as you calculated.

So, it seems there was an error in your calculation. Please double-check your work to find the mistake.