Answer:
It will take 2 seconds to reach its maximum height. Â Â Â Â Â
Step-by-step explanation:
We have 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.
We have to find, Using a graphing calculator, determine at what time the ball reaches its maximum height.
Solution:
The equation represented as [tex]h(t) = 5 + 64t - 16t^2[/tex]
Where, t is time in seconds and h is the height.
Now, We plot the graph of the given equation.
Refer the attached graph below.
The given equation is a downward parabola with 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
The vertex of the equation is given by V=(2,69)
Maximum height = 69 feet
Time to reach maximum height = 2 seconds
Therefore, It will take 2 seconds to reach its maximum height.
