+101 A baseball is hit so that its height above ground is given by the equation h=-16^2+96t+4, where h is the height in feet and t is the time in seconds after it is hit. Show your work.
a. How long does it take the baseball to reach its highest point?
b. How high will it go?
+23252 This formula describes a parabola. The highest point will be at its vertex.
The x-value of the vertex of the parabola y = ax2 + bx + c is: x = -b/(2a)
For the equation: h = -16t2 + 96 t + 4, the values of a, b, and c, are: a = -16, b = 96, and c = 4.
t = -b/(2a) = -96/(2·-16) = -96/-32 = 3
---> So, it takes 3 seconds to get to its highest point.
To find how high it goes, substitute 3 back into the original equation: h = -16(3)2 + 96 (3) + 4 = 148 feet.
+23252 This formula describes a parabola. The highest point will be at its vertex.
The x-value of the vertex of the parabola y = ax2 + bx + c is: x = -b/(2a)
For the equation: h = -16t2 + 96 t + 4, the values of a, b, and c, are: a = -16, b = 96, and c = 4.
t = -b/(2a) = -96/(2·-16) = -96/-32 = 3
---> So, it takes 3 seconds to get to its highest point.
To find how high it goes, substitute 3 back into the original equation: h = -16(3)2 + 96 (3) + 4 = 148 feet.
