SOLUTION: An object is shot upward with an initial velocity of 240 feet per second so that its height s (in feet) above the ground after t seconds is given by s= -16t^2+240t. For what value

Question 43041This question is from textbook algebra and trigonometry with analytic geometry
: An object is shot upward with an initial velocity of 240 feet per second so that its height s (in feet) above the ground after t seconds is given by s= -16t^2+240t. For what values of t will the object be at least 416 feet above the ground? I think I have it as (2,5). thanks for any help. This question is from textbook algebra and trigonometry with analytic geometry

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

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=30976 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2, 13. Here's your graph:

Answer:
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