SOLUTION: Tossing a Ball. A ball is tossed into the air at 10ft/sec from a height of 5 feet. How long does it take to reach the ground? I really don't know even how to set this problem

Question 192275This question is from textbook
: Tossing a Ball. A ball is tossed into the air at 10ft/sec from a height of 5 feet. How long does it take to reach the ground?
I really don't know even how to set this problem up. I just need the formula, and then I'm able to figure it out!! This question is from textbook

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A ball is tossed into the air at 10ft/sec from a height of 5 feet. How long does it take to reach the ground?
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h(t) = -16t^2 + 10t + 5 --- h is the height at any time t (in seconds)
Find t when h = 0
16t^2 - 10t - 5 = 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 : .

Discriminant d=420 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.952934422872475, -0.327934422872475. Here's your graph:

==================
Sub x for t
Use the positive answer,
t = 0.9529344... seconds
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