Answer
$(400.5,200.25)m$
$447.77m$
Work Step by Step
Step 1. We can simulate the hill with a line equation. Since it passes the origin with a slope of $1/2$, we have $y=\frac{1}{2}x$
Step 2. The trajectory of the parabola is given as $y=-x^2+401x$. To find the intersection point with the hill, use the above equation and replace $y$ to get $\frac{1}{2}x=-x^2+401x$ or $2x^2-801x=0$
Step 3. Solve the above equation (discard $x=0$) to get $x=400.5m$, thus $y=200.25m$
Step 4. The distance along the hill can be found using the Pythagorean's Theorem (or distance formula) as:
$D=\sqrt {400.5^2+200.25^2}\approx447.77m$
