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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
meters.

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