Lise vs. Steve

Calculus Level 2

Lise jogs along the curve defined by f(x)=2(x1)323f(x) =\dfrac{2(x - 1)^{\frac{3}{2}}}{3} from (1,f(1))(1, f(1)) to (4,f(4)).(4, f(4)). Steve jogs along the straight line connecting those two points. Steve and Lise both start from x=1x = 1 at the same time and Lise jogs at a speed of 73 units/s\frac{7}{\sqrt{3}} \mbox{ units}\mbox{/s}. What is the speed at which Steve must run (in  units/s\mbox{ units}\mbox{/s}) so that he arrives at (4,f(4))(4, f(4)) at the same time as Lise?

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