We have only solving this by limits we have not started the unit derivatives

Mrs Gordon Calculus 12 2023 Same project, 2 scenarios PICK ONE! Option 1: An amusement park is designing a ride where the cars travel along a curved track given by the formula y = =x2 + 2. If a passenger is flung off the track at the point (2, 5 ), they will travel in a straight line in the direction of the tangent. a) Will the unfortunate passenger hit a pole located at the point (7,5)? b) If the answer to a) is YES, then determine where on the graph they could have left the track in order to avoid it. c) If the answer to a) is NO: then determine where would the unfortunate traveler needed to have left the curve to hit the pole