Answer:
2 seconds
Step-by-step explanation:
Given : A baseball is thrown upwards from a height of 5 feet with an initial speed of 64 feet per second, and its height h (in feet) from the ground is given by [tex]h(t) = 5 + 64t -16t^2[/tex] where t is time in seconds.
To Find: Using a graphing calculator, determine at what time the ball reaches its maximum height.
Solution:
Plot the graph of the given equation
Refer the attached graph
So, the given equation is a downward parabola
So, the y coordinate of vertex of the parabola will give its maximum height and x coordinate will given the time at which the ball is at maximum height
So, Vertex = (2,69)
Maximum height = 69 feet
Time to reach maximum height = 2 seconds
Hence it will take 2 seconds to reach its maximum height.
