Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.
-Suppose that the speed of a train approaching a station is given by v (t) = , for 0 t 8, where t is measured in seconds and v(t) is measured in meters per second. Find
(5) .
A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.
B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/
at t = 5 s.
C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/
at t = 5 s.
D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/
at t = 5 s.
Correct Answer:
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