Solved: Use the information below to solve Exercises 81

Chapter 5, Problem 83

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Use the information below to solve Exercises 81 and 82. The surface area of a rectangular box is given by the polynomial functionSA = 2HL + 2LW + 2HWand is measured in square units. In business, surface area is often calculated to help determine cost of materials.A projectile is fired upward from the ground with an initialvelocity of 300 feet per second. Neglecting air resistance, theheight of the projectile at any time t can be described by thepolynomial function P1t2 = -16t2 + 300t. Find the heightof the projectile at each given time.a. t = 1 secondb. t = 2 secondsc. t = 10 seconds d. t = 14 secondse. Explain why the height increases and then decreases astime passes.f. Approximate (to the nearest second) how long beforethe object hits the ground.

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