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Juliette [100K]
3 years ago
8

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) fro

m the ground is given by h(t) = 5 + 64t – 16t2 where t is time in seconds. Using a graphing calculator, determine at what time the ball reaches its maximum height.

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
8 0

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 h(t) = 5 + 64t -16t^2 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.

alexira [117]3 years ago
6 0
A graphing calculator shows the ball reaches its maximum height of 69 feet at t = 2 seconds.

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