Seeing how the shape of the mountain IS the path of the sled, how does changing the shape of the mountain NOT change the path for you?
Perhaps "the shape of a path down a mountain" would make everyone happy.
If they'd just said the above, and I think not shown the value of t, it would have been a lot clearer, at least to me.
If in later levels they show formula(s) using gravity, and perhaps show the skier on different planets, with different values of G, then I can see the value in showing the value of t. But as it is, I think it's confusing.