Abow and arrow hunter walks toward the origin along the positive x-axis, with unit speed. at time 0, he is at x=10. his arrow (of unit length) is aimed always toward a rabbit hopping with constant velocity √5 in the first quadrant along the line y = 2x, at time 0 it is at the origin.

a. write down the vector function for the arrow at time
b. the hunter shoots (and misses) when closest to the rabbit, when is that?

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Vector Functions and Parametric Equations

A bow-and-arrow hunter walks toward the origin along the positive x-axis, with unit speed; at time 0 he is at x = 10. His arrow (of unit length) is aimed always toward a rabbit hopping with constant velocity √5 in the first quadrant along the line y = 2x; at time 0 it is at the origin.

a) Write down the vector function A(t) for the arrow at time t.

b) The hunter shoots (and misses) when closest to the rabbit; when is that?

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