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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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
[z(1)] [x(1)]
that 2(t) = P x(t) and the three entries of the vector on the left side of the equal sign have units km, km/s,
[2(1)
and km/s2, respectively.
Transcribed Image Text: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 [z(1)] [x(1)] that 2(t) = P x(t) and the three entries of the vector on the left side of the equal sign have units km, km/s, [2(1) and km/s2, respectively.
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