APFIVE Interpreting the Derivative in Context
The position of a car traveling along a straight road $$t$$ seconds after passing a checkpoint is modeled by the differentiable function $$P$$, where $$P(t)$$ is measured in feet. Which of the following is an interpretation of the statement $$P'(12) = 88$$?
A
The car is traveling at a speed of 88 feet per second when it is 12 feet from the checkpoint.
B
The car is traveling at a speed of 88 feet per second 12 seconds after passing the checkpoint.
C
The car is 88 feet from the checkpoint 12 seconds after passing it.
D
The car’s acceleration is 88 feet per second squared 12 seconds after passing the checkpoint.
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