# Throwing a Ball A ball is thrown vertically upward into the air

Instructions O All work and answers must be typed up using Microsoft Word. For full points, equations must be typed up using the equation editor. All formulas used and steps taken to solve each problem must be shown. • You must explain in your own words how you set up the problem, simplified it, and arrived at your answer in complete sentences. All answers must be restated as complete sentences that tie back to the original question with the correct units. . Throwing a Ball A ball is thrown vertically upward into the air. If the ball started from a height of 87 feet off the ground, use the following formula to represent the projection of the ball H = -16t2 + 41t + 87 Where H is the height of the ball after t seconds have passed. Question #1 When does the ball reach its maximum height? Your answer must be expressed as a decimal rounded to 2 decimal places with the correct units in a complete sentence. Hint: The maximum height occurs at the vertex of the parabola Question #2 What is the maximum height of the ball? Your answer must be expressed as a decimal rounded to 2 decimal places with the correct units in a complete sentence. Hint: The maximum height occurs at the vertex of the parabola Question #3 When does the ball return to the ground? You must use the quadratic formula to solve this problem. Your answer must be expressed as a decimal rounded to 2 decimal places with the correct units in a complete sentence. Hint: The ball reaches the ground when the height equals zero.

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