# Lise vs. Steve

Calculus Level 2

Lise jogs along the curve defined by $$f(x) =\dfrac{2(x - 1)^{\frac{3}{2}}}{3}$$ from $$(1, f(1))$$ to $$(4, f(4)).$$ Steve jogs along the straight line connecting those two points. Steve and Lise both start from $$x = 1$$ at the same time and Lise jogs at a speed of $$\frac{7}{\sqrt{3}} \mbox{ units}\mbox{/s}$$. What is the speed at which Steve must run (in $$\mbox{ units}\mbox{/s}$$) so that he arrives at $$(4, f(4))$$ at the same time as Lise?

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