Question: Suppose that a projectile is fired at an angle of 45 degrees from the horizontal. Its initial position is the origin in the x-y 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 ≥ 0.

a.) How far does the projectile travel (horizontally) before it hits the ground?

b.) What is the maximum height above the ground that the projectile attains?

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