Question

If the constant c is chosen so that the curve given parametrically by ct, c 2 16 t 2 , 0 ≤ t ≤ 3 , is the arc of the parabola 16y = x 2 from (0, 0) to (8, 4), find the coordinates of the point p on this arc corresponding to t = 2.

Answer 1

To determine the value of c, we can use cross multiplication of the given ratios composing the proportion. 13 times 3 is equal to 39. Then, divide the obtained answer by 6 giving us the final answer which is equal to 6.5. Hence, the answer to this item is 6.5