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Vanessa throws a tennis ball in the air. The function h(t) = -15t^2 + 45t + 10 represents the distance in feet, that the ball is from the ground at any time in seconds, t. What is the maximum height of the ball?

 Sep 30, 2021
 #1
avatar+47 
+1

Since the leading coefficient is negative, the quadratic opens downward.

The maximum height of the ball is the vertex of the parabola. Formula for the vertex is -b/2a with quadratic equation ax^2+bx+c

So the answer is -45/-30=1.5 feet.

 

Hope that helpssmiley

 Sep 30, 2021
edited by HedgieWedgie  Sep 30, 2021
 #2
avatar+35057 
+2

CLOSE HW...but not quite

   - b/2a = -45/-30 = 1.5  seconds     the TIME the ball is at a maximum

         you must sub t = 1.5 into the equation to get the maximum HEIGHT ....

 Oct 1, 2021
edited by ElectricPavlov  Oct 1, 2021

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