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Question 3. In the uniformly accelerated motion, the acceleration a is unchanged for all the time t, i.e., a(t) = a, where a is a

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Question 3. In the uniformly accelerated motion, the acceleration a is unchanged for all the time t, i.e., a(t) = a, where a is a constant. Further, the derivative of distance function over time s(t) represents instantaneous velocity v and that the derivative of the velocity function v(t) represents instantaneous acceleration at a particular time. That is s'(t) = v(t) and v'(t) = a(t). Suppose that at the begin- ning, an object o moves with the acceleration a(0), velocity v(0), and distance s(0) and o's movement follows uniformly accelerated motion. After some time T, the acceleration becomes a(T), velocity v(T) and distance s(T). (1) Represent a(T), v(T), and s(T) with a(Q), v(0), s(0), and T (which are supposed to be known). (15') (2) As a continuous story of (1), a 3 x 3 matrix M is defined as: a(T) v(T) =M (1) s(T) s(0) How to represent the entries of M with T (assumed to be a known number)? (15')

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