Question

On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of time could be modeled by the function h(t) = -16tequals -16t ^2 + 16t + 480, where T is the time after jumping in seconds and H is the height in feet how many seconds did it take Rose to hit the water

Answer 1

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t =
`(-1+√(121) )/(-2)`

t₁ =
`(-1 + 11)/(-2)` = - 5

t₂ =
`(-11-11)/(-2)` = 6

Since time can be negative, it took t = 6s for Rose to hit the water.