SOLUTION: when a ball is thrown, it's height in feet H after t seconds is given by the equation h=vt-16t^2 where v is the initial upwards velocity in feet per second if v=13 feet per second

Algebra.Com
Question 330347: when a ball is thrown, it's height in feet H after t seconds is given by the equation h=vt-16t^2 where v is the initial upwards velocity in feet per second if v=13 feet per second find all the values of t for which h=2
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
when a ball is thrown, it's [sic] height in feet H after t seconds is given by the equation h=vt-16t^2 where v is the initial upwards velocity in feet per second if v=13 feet per second find all the values of t for which h=2
----------
h(t) = vt-16t^2
Sub 2 for h and 13 for h
2 = 13t - 16t^2
16t^2 - 13t + 2 = 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=41 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.206152367580223, 0.606347632419777. Here's your graph:

t = x
-----------
It's at 2 feet twice, going up, then coming back down.
Most people find it difficult to throw a ball straight up from ground level.


RELATED QUESTIONS

When a ball is thrown, its height in feet h after t seconds is given by the equation... (answered by venugopalramana)
When a ball is thrown, its height in feet h after t seconds is given by the equation (answered by stanbon)
When a ball is thrown, its height in feet h after t seconds is given by the equation... (answered by Fombitz)
When a ball is thrown, its height in feet h after t seconds is given by the equation... (answered by nerdybill)
When a ball is thrown, its height in feet h after t seconds is given by the equation... (answered by nerdybill)
When a ball is thrown, its height in feet "h" after "t" seconds is given by the equation (answered by stanbon,checkley71)
When a ball is thrown, its height in feet "h" after "t" seconds is given by the equation (answered by fractalier)
When a ball is thrown, its height in feet h after t seconds is given by the equation (answered by htmentor)
The formula for the height of a ball as a function of time is given by the equation h =... (answered by midwood_trail)