Interpreting the Derivative in Context
The position of a car on a straight road is described by a differentiable function $$P$$, where $$P(t)$$ is the distance in feet from a checkpoint at time $$t$$ seconds. Which of the following is the best interpretation of the statement $$P'(12) = 88$$?
A
The car’s acceleration is 88 feet per second squared 12 seconds after passing the checkpoint.
B
The car is traveling at a speed of 88 feet per second when it is 12 feet from the checkpoint.
C
The car is 88 feet from the checkpoint 12 seconds after passing it.
D
The car is traveling at a speed of 88 feet per second 12 seconds after passing the checkpoint.
Question Leaderboard
Not enough data yet to show leaderboard.