When will Peter's baseball hit the ground? Use mathematical evidence to explain your answer.

Question:

The height of Peter’s baseball is given by the graph below (See attachment)

When will Peter’s baseball reach the highest height? What is the height?  When will Peter’s baseball hit the ground? Use mathematical evidence to explain your answer. Peter's baseball reached the maximum height at 1.5 secondsPeter's baseball hit the ground at 4 seconds

Step-by-step explanation:

The (a) & (b) will be answered by making reference to the attachment.

Solving (a): Time to reach maximum height

The height is plotted at the vertical axis while the time taken is at the horizontal axis.

From the attachment; the following details can be observed

The maximum height is at 90ftWhen the maximum height is traced to the horizontal axis, the corresponding time is 1.5s

Using function notations, this can be represented as:

And the interpretation is that:

Peter's baseball reached the maximum height at 1.5 seconds

Solving (b): Time to hit the ground

The interpretation of this question is to solve for the x intercept of the graph.

From the attachment; the following details can be observed

The ground is at 0 feetThe corresponding time at 0 feet is 4s

Using function notations, this can be represented as:

And the interpretation is that:

Peter's baseball hit the ground at 4 seconds

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Lines that intersect at one point