Mr. Johnston's physics class went to the football field to launch a rocket into the air. The rocket's height in feet, f(x), depends on the number of seconds, x, that have elapsed since launch. What does f(8) = 0 tell you? Choices: (A)The rocket starts its launch 8 feet above the ground. (B)After 8 seconds, the rocket has already landed on the field.

Question

Mr. Johnston's physics class went to the football field to launch a rocket into the air. The rocket's height in feet, f(x), depends on the number of seconds, x, that have elapsed since launch. What does f(8) = 0 tell you?   Choices: (A)The rocket starts its launch 8 feet above the ground. (B)After 8 seconds, the rocket has already landed on the field.

Bytelearn · Accepted Answer

Given Function Interpretation: We are given a function f(x) that represents the rocket's height in feet at any given time x seconds after launch. We need to interpret what f(8) = 0 means in this context.Function Value Analysis: The function value f(8) = 0 means that at x = 8 seconds, the height of the rocket, f(x), is 0 feet. This implies that the rocket is at ground level at that time.Correct Interpretation Comparison: Now we need to choose the correct interpretation of f(8) = 0 from the given choices.  (A) suggests that the rocket starts its launch 8 feet above the ground, which is not related to the time elapsed or the height after 8 seconds. (B) suggests that after 8 seconds, the rocket has already landed on the field, which matches the information given by f(8) = 0.Final Conclusion: Therefore, the correct interpretation of f(8) = 0 is that after 8 seconds, the rocket has already landed on the field.

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