SOLUTION: an arrow is shot vertically from a platform 22 ft high at a rate of 175 ft per second. when will the arrow hit the ground

Question 813566: an arrow is shot vertically from a platform 22 ft high at a rate of 175 ft per second. when will the arrow hit the ground
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
an arrow is shot vertically from a platform 22 ft high at a rate of 175 ft per second. when will the arrow hit the ground
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You didn't spec a function.
Most commonly used on Earth (in feet) is;
h(t) = -16t^2 + 175t + 22 for the given initial conditions.
h(t) = -16t^2 + 175t + 22 = 0
Solve for t, use the positive solution.
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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=32033 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.124301632382808, 11.0618016323828. Here's your graph:

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t =~ 11.062 seconds
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