Help! Giving brainliest and 10+ points, A ball is dropped from the top of a 400-ft tall tower. The relationship between the time, t, in seconds, and the height, h(t), in feet, of the ball can be modeled by a quadratic function. Specific values of the function are shown in the table below
Part A: Determine the average rate of change of h(t) between t = 2 and t = 5.
Part B:Explain what this average rate of change means in terms of the context.

Help Giving brainliest and 10 points A ball is dropped from the top of a 400ft tall tower The relationship between the time t in seconds and the height ht in fe class=

Respuesta :

The average rate of change of h(t) between t = 2 and t = 5 is -112. See the explanation below.

What does this average rate of change means in terms of the context?

Because the average rate of change is negative it simply means that the slope of the Quadratic function is also negative.

What is the calculation showing the above answer in part A?

We are given the following:

When t =2; h(2) = 336

When t = 5; h(5) = 0

Recall that the Average Rate of Change on the interval [a,b] is given as:

[ta - tb]/(b-a)

Since the state interval is [2,5]; and

h(2) = 336; and

h(5) = 0

Hence

ARC = 0-336/5-2

= -336/3

= -112

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