Figure 2.36 shows how the contraction velocity, v(x), of a muscle changes as the load on it changes.
(a) Find the slope of the line tangent to the graph of contraction velocity at a load of 2 kg. Give units.
(b) Using your answer to part (a), estimate the change in the contraction velocity if the load is increased from 2 kg by adding 50 grams.
(c) Express your answer to part (a) as a derivative of v(x).

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contraction velocity (cm/sec) 30 20 10 D(F) 1 2 3 Figure 2.36 4 x, load opposing contraction (kg)