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 = [tex]\frac{-1+\sqrt{121} }{-2}[/tex]
t₁ = [tex]\frac{-1 + 11}{-2}[/tex] = - 5
t₂ = [tex]\frac{-11-11}{-2}[/tex] = 6
Since time can be negative, it took t = 6s for Rose to hit the water.
