What do you think this is, Indiana Jones (I dunno why you would have thought that) or Speed? In real fantasy you need more than a slight incline to jump a huge gap no matter how inclined.
Oops, yes, the track ends pretty soon afterwards in a huge gap. Despite the slight incline of the track, carts filled with 24 heavy champions do what carts with 24 heavy champions do, which is fall in a pretty steep parabola.
What should actually happen is that the party land bruised but alive below in the big pit area. However, if these are the sort of choices you are going to make it's probably best you just go and restart this adventure again as that pit isn't a nice pit.