SOLUTION: A diver jumps from a 48 foot cliff into the ocean below with an initial velocity of 8 ft/sec. The height of the diver from the ocean after t sec is given by h = -16t2 + 8t + 48. Wh

Question 300908: A diver jumps from a 48 foot cliff into the ocean below with an initial velocity of 8 ft/sec. The height of the diver from the ocean after t sec is given by h = -16t2 + 8t + 48. When does the diver hit the water?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
h = -16t2 + 8t + 48. When does the diver hit the water?
------------
When h = 0
-16t^2 + 8t + 48 = 0
Solve for t

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -1.5, 2. Here's your graph:

--------------------
t = 2 seconds

RELATED QUESTIONS
Solve using the five-step problem-solving process. Show all steps necessary to arrive at... (answered by ankor@dixie-net.com)

A diver jumps from a 48 ft cliff into the ocean below with the initial velocity of 8 ft... (answered by Alan3354)

I'm trying to help my daughter with her math homework over the phone. This is her word... (answered by solver91311)

In July of 1997, the first cliff diving world championships were held in Brontallo,... (answered by Greenfinch)

A diver is standing on a platform 24 ft above the pool. He jumps from the platform with... (answered by nerdybill)

A cliff driver jumps from the top of a cliff that is 150 feet tall. the distance from the (answered by math_tutor2020)

The model y = -x^2 + 2x + 27 describes the height (y, in meters) of a diver (after x... (answered by ewatrrr)

A diver jumps from 175 feet above water. height of diver h= -16t2 + 7t+175 How many... (answered by tommyt3rd)

An Acapulco cliff diver dives into the sea from a height of 35 m. His height, h, in... (answered by Boreal)