Can somebody /teach me about this ? “suppose the equation h=-16t^2 + 35t models the altitude a football will reach t seconds after it is kicked. is the given value possible? ” a: h= 16 ft. b: h= 20ft.

A. Since we know that  is the altitude a football will reach t seconds after it is kicked, we are going to replace the altitude  in our equation and solve for . If the equation has any positive real solutions, we can conclude that the given value is possible. 

We know from our problem that the given value is , so lets replace that value in our equation and solve for :



Solving for :
or 

We can conclude that the given value, h=16, is possible. In fact, the ball reaches that height two times: at and .

B. Just like before, we are going to replace the given value, , in our equation , and then, we are going to solve for  to check if the given value is possible. If the equation has any positive real solutions, we can conclude that the given value is possible.



Solving for :
or 

Since the equation doesn't have any real solutions, we can conclude that the given value, h=20, is not possible.