Problem Three: (Based on Chapra, Chapter 3, Problem 3.14) Piecewise functions are sometimes useful when the relationship between a dependent and an independent variable cannot be adequately represented by a single equation. For example, the velocity of a rocket might be described by: v(f) 102-51 0≤1≤8 8≤1≤16 16≤1 ≤ 26 計 624-51 361+12(-16) 2136-01-26) 0 1>26 otherwise Develop a function, named v_rocket, to compute v as a function of 1. Then, develop a script that uses this function to generate a plot of v versus 1 for 1=-5 to 50.