Problem 1. [x(1)] Let (1) be a vector with three variables denoting displacement, velocity, and acceleration. Suppose that the units of these three variables are m, m/s, and m/s², respectively. Find the entries of a matrix P so [2(1),] [x(t)] that (t) = P x(t) and the three entries of the vector on the left side of the equal sign have units km, km/s, and km/s2, respectively.
Problem 1. [x(1)] Let (1) be a vector with three variables denoting displacement, velocity, and acceleration. Suppose that the units of these three variables are m, m/s, and m/s², respectively. Find the entries of a matrix P so [2(1),] [x(t)] that (t) = P x(t) and the three entries of the vector on the left side of the equal sign have units km, km/s, and km/s2, respectively.
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