A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The height of the football stadium is 70 feet. The height an object reaches with respect to time is modeled by the following equation: h = gt + vt +s In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is time in seconds. 1. Write a function that models this situation as related to the number of seconds since kickoff. 2. Sketch and describe the graph of this function, including intercepts and maximum height. 3. At what times is the football the same height as the stadium? Explain your answer.
A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The height of the football stadium is 70 feet. The height an object reaches with respect to time is modeled by the following equation: h = gt + vt +s In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is time in seconds. 1. Write a function that models this situation as related to the number of seconds since kickoff. 2. Sketch and describe the graph of this function, including intercepts and maximum height. 3. At what times is the football the same height as the stadium? Explain your answer.
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