Question

The demon drop at cedar point in Ohio takes riders to the top of a tower and drops them 60 feet. A function that approximates this ride is h = 16^2 + 64x - 60, where h is the height in feet t

Answer 1

Completion of question:

The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?

Answer:

4.78 s

Step-by-step explanation:

Given the equation :

h = - 16^t2 + 64t + 60

Using the quadratic formula ; where

a = - 16 ; b = 64 ; c = 60

Dropping to the ground, h = 0

16^t2 + 64t - 60 = 0

-b ± (√b²- 4ac) / 2a

-64 ± (√64²- 4(-16)(60)) / 2(-16)

-64 ± (√7936) / - 32

(-64 ± 89.08) / - 32

(-64 + 89.08) / - 32 = - 0.783 OR

(-64 - 89.08) / - 32 = 4.78

Reject the negative

t = 0.783 seconds