SOLUTION: A golf ball is hit in the air. the path of the golf ball can be described by the equation h = 55t - 5t where h is the height of the ball in meters and t is the time after how many

Question 255024: A golf ball is hit in the air. the path of the golf ball can be described by the equation h = 55t - 5t where h is the height of the ball in meters and t is the time after how many seconds will the ball be in 160 high
Found 2 solutions by Greenfinch, Alan3354:
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
I think one of these t should be squared. Until I know which one, I can't answer.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It should be 55t - 5t^2, and it's 160 meters high, not 160 high.
-5t^2 + 55t - 160 = 0
-t^2 + 11t - 32 = 0

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 : .

The discriminant -7 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -7 is + or - .

The solution is , or
Here's your graph:

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It doesn't go that high.
The max height is 123.75 meters, at t = 5.5 seconds.
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