SOLUTION: A stone is thrown directly upward from a height of 30 ft, with an initial velocity of 60 ft/sec. The height of the stone, in feet, t seconds after it has been thrown,is given by th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A stone is thrown directly upward from a height of 30 ft, with an initial velocity of 60 ft/sec. The height of the stone, in feet, t seconds after it has been thrown,is given by th      Log On


   



Question 1162009: A stone is thrown directly upward from a height of 30 ft, with an initial velocity of 60 ft/sec. The height of the stone, in feet, t seconds after it has been thrown,is given by the function s(t) = -16t^2 + 60t + 30. Based on this model, what is the stone's maximum heights? How long does it take for the stone to reach its maximum height?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The graph of is a parabola opening downward. The value of the function at the vertex is the maximum height and the value of the independent variable at the vertex is the time relative to the instant of launch for the projectile to reach maximum height.



has a vertex at the point



Use the coefficients from your given function to calculate the desired values.


John

My calculator said it, I believe it, that settles it