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Explain why this is the answer of the question in words. ESSAY 1 Note: If you have not taken linear algebra, for vector read sequence

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Explain why this is the answer of the question in words.

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ESSAY 1 Note: If you have not taken linear algebra, for "vector" read "sequence of real numbers" such as a = (X1, X2, ..., 'n), interpret xy (x-transpose times y) as the Euclidean product, Criyi. i=1 A unit mass moves on a straight line; the position of the mass at time t is denoted by s(t), so the first and second derivatives s'(t) and s"(t) are velocity and acceleration. The motion obeys Newton's second law, s" (t) = F(t), where F(t) denotes the force acting on the mass at time t. Now assume that we are applying piecewise constant forces, represented by a 10-vector f = (f1, ..., fio), where f1 is the constant force applied over the time interval 0 _ t

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