please imagine the scenario " you went to a concert for your favorite music artist and you were standing near the state. the artist threw a souvenir into the crowd and you caught it! the souvenir was released at an angle of 30 degrees and was thrown with an initial speed of 20 ft per second. also the artist is standing on stage 15 feet above the ground and you caught the souvenir at 5 feet above the ground. note the acceleration due to gravity is 32 ft/sec^2. "

1. write the vector function that describes the path of the souvenir.

2. after the souvenir is thrown, how many seconds pass before you catch it? round to the nearest hundredth.

3. how many feet away from the stage are you standing?