Question: Suppose that a projectile is fired at an angle of 45° from the horizontal. Its initial position is the origin in the xy-plane, and its initial velocity is 100 \(\sqrt{2}\) ft/sec. Then its trajectory will be the part of the parabola \(y=x-{{\left( \frac{x}{25} \right)}^{2}}\) ? for which y \(\ge \) 0.

1. How far does the projectile travel (horizontally) before it hits the ground?
2. What is the maximum height above the ground that the projectile attains?

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