If the constant c is chosen so that the curve given parametrically by ct, c 2 8 t 2 , 0 ≤ t ≤ 3 , is the arc of the parabola 8y = x 2 from (0, 0) to (4, 2), find the coordinates of the point p on this arc corresponding to t = 2.

Since the parabola is given by , and is parameterized by , it follows that when and , we have



So when , the -coordinate of the point would be



I'm not sure how is parameterized, but my best guess is that you mean to say



which means when we would get a -coordinate of