The formula v=8square root of h gives the relationship between velocity, v (in feet per second and height, h (in feet). What is the maximum velocity of a roller coaster that is 203 feet high?
Can the question be solved using the equation
t^2-2t-11=0?
V = 8*sqrt(h) = 8*sqrt(203) = 114 Ft/s.
To find the maximum velocity of a roller coaster that is 203 feet high, we can use the given formula v = 8√h, where v represents the velocity and h is the height.
Substituting the given height value of 203 feet into the formula, we get:
v = 8√203
To find the maximum velocity, we need to calculate the square root of 203 first. This can be done using a calculator or by using estimation methods.
Calculating the square root of 203 gives us approximately 14.26.
Substituting this value back into the formula, we have:
v = 8 * 14.26
v ≈ 114.08
Therefore, the maximum velocity of the roller coaster when it is 203 feet high is approximately 114.08 feet per second.
Regarding the equation t^2 - 2t - 11 = 0, it is a quadratic equation in terms of t, not related to velocity or height. This equation cannot be used to solve the given problem.