3. A student is holding a hose standing beside a large wall. The hose can spray...

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3. A student is holding a hose standing beside a large wall. The hose can spray out water at a constant speed vo; the student can aim the hose at any point along the wall. (a) What is the maximum height above the ground that the student can get the wall wet? (b) What is the maximum distance from the student that the student can get the wall wet? (c) If x is the distance along the wall from the student, find the height y to which the student can wet the wall. This is a much harder problem than the previous two, and requires either calculus and significant trigonometry, or some very creative approach. 3. A student is holding a hose standing beside a large wall. The hose can spray out water at a constant speed vo; the student can aim the hose at any point along the wall. (a) What is the maximum height above the ground that the student can get the wall wet? (b) What is the maximum distance from the student that the student can get the wall wet? (c) If x is the distance along the wall from the student, find the height y to which the student can wet the wall. This is a much harder problem than the previous two, and requires either calculus and significant trigonometry, or some very creative approach.