Calculus 3 Quiz
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VECTOR-VALUED FUNCTIONS & MOTION
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A particle of mass mm moves in the potential field V(x,y)=12k(x2+4y2)V(x,y) = \frac{1}{2}k(x^2 + 4y^2) where k>0k > 0. If the particle starts at (2,1)(2, 1) with initial velocity v⃗0=v0i⃗\vec{v}_0 = v_0\vec{i}, what is the maximum value of the yy-coordinate during the subsequent motion?
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