An object shot into the air follows the path given by (t) = (at, 1000+ bt - 4.9t²) m with t in seconds and a and b are unknown physical constants. y (m) 1000 20000 x (m) The launch speed is 500 m/s. The launch point is at a height of 1000 meters, and the object lands 20,000 meters downrange. Find the total distance that the object traveled through the air. Be accurate to within 10

An object shot into the air follows the path given by (t) = (at, 1000+ bt - 4.9t²) m with t in seconds and a and b are unknown physical constants. y (m) 1000 20000 x (m) The launch speed is 500 m/s. The launch point is at a height of 1000 meters, and the object lands 20,000 meters downrange. Find the total distance that the object traveled through the air. Be accurate to within 10