SOLUTION: In July of 1997, the first cliff diving world championships were held in Brontallo, Switzerland. Participants performed acrobatic dives from heights up to 92 feet. Suppose a cliff

Question 253269: In July of 1997, the first cliff diving world championships were held in Brontallo, Switzerland. Participants performed acrobatic dives from heights up to 92 feet. Suppose a cliff diver jumps from this height with an initial upward velocity of 5 feet per second. How much time does the diver have to perform acrobatic manuevers before hitting the water?
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
u = +5, s = -92, a = -32, t = ?
s = ut 1+ (at^2)/2
-92 = 5t +16t^2
16t^2 + 5t - 92=0

Solved by pluggable solver: SOLVE quadratic equation with variable

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=5913 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.24675105337056, -2.55925105337056. Here's your graph:

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