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) = (t - 8) 2, for 0 ? t ? 8, where t is measured in seconds and v(t) is measured in meters per second. Find v'(5).

Question

A. v'(5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/s2 at t = 5 s.
B. v'(5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/s2 at t = 5 s.
C. v'(5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/s2 at t = 5 s.
D. v'(5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.

Answer 1

Answer: C