You are enjoying a day at the amusement park, riding a roller coaster, when suddenly a section of track up ahead crashes to the ground. You estimate that the cart is travelling at 5 m/s horizontally on the track before you begin to fall through the air. If the coaster leaves the track at a point 90 meters off the ground, how far from the base of the coaster will you (and the rest of the car) land?

Question

You are enjoying a day at the amusement park, riding a roller coaster, when suddenly a section of track up ahead crashes to the ground.  You estimate that the cart is travelling at 5 m/s horizontally on the track before you begin to fall through the air.  If the coaster leaves the track at a point 90 meters off the ground, how far from the base of the coaster will you (and the rest of the car) land?