(2 points) Recall that the function r(t) = (cost, sint) traces out the unit circle by...

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(2 points) Recall that the function r(t) = (cost, sint) traces out the unit circle by traveling a distance t counterclockwise from position (1,0). Define a new function q(t) that traces the "unit square" below by moving a distance t from position (1,0). So, for example, q(0) = (1, 0), q(1) = (1, 1), q(2) = (0, 1), q(3) = (-1, 1),... Suppose q(t) is the velocity of a particle starting at the origin at time t = 0. Sketch the position x(t) of the particle by finding its exact value at integer times and interpolating. Finally, describe the particle's acceleration x"(t) as a vector valued function. 0. qiri (2 points) Recall that the function r(t) = (cost, sint) traces out the unit circle by traveling a distance t counterclockwise from position (1,0). Define a new function q(t) that traces the "unit square" below by moving a distance t from position (1,0). So, for example, q(0) = (1, 0), q(1) = (1, 1), q(2) = (0, 1), q(3) = (-1, 1),... Suppose q(t) is the velocity of a particle starting at the origin at time t = 0. Sketch the position x(t) of the particle by finding its exact value at integer times and interpolating. Finally, describe the particle's acceleration x"(t) as a vector valued function. 0. qiri

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