Question

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His

height as a function of time could be modeled by the function h(t) = -16t2 + 16t + 480 , where t
is the time in seconds and h is the height in feet.

a. How long did it take for Jason to reach his maximum height?

b. What was the highest point that Jason reached?

c. Jason hit the water after how many seconds?

Answer 1

Answers are listed:

Explanation:

a. How long did it take for Jason to reach his maximum height?

Answer: 1/2 seconds How to find it: x=-b/2a

b. What was the highest point that Jason reached?

Answer: 484 feet How to find it: Substitute 1/2 from earlier into the equation as t because h(t) is h(1/2).

c. Jason hit the water after how many seconds?

Answer: After 6 seconds How to find it: 0 = -16t2 + 16t + 480 then you will get t=6 and t=-5. You can't have negative time so 6 would be your answer.

Hope this helps :)

Answer 2

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex: (1/2,484)

Focus: (1/2, 30975/64)

Axis of Symmetry: x=1/2

Directrix: y=30977/64

x l y

1/2 l 484

1 I 480

A) How long did it take for Jason to reach his maximum height? -b/2a=-16/-32= 1/2s

B) What was the highest point that Jason reached?

484ft ~h(ois)

C) Jason hit the water after how many seconds?

roots -5&6 so 6s

Oh and by the way there is some seriously cool cliff jumps in Acapulco, I'm dying to go.

1/2s, 484ft, 6s