s=-1/2 gt2+v0 t+s0, where s is the height of the objected at time t seconds, g is 32 feet per second2 and v0 and s0 are the initial velocity and initial height, respectively. Two friends are in competition. Each stands on the roof of the apartment building where each one lives. At the same time, each friend stands at the edge of the roof and throws up a basketball as hard as possible. Joan's apartment building is 120 feet high, and she trows the basketball at a speed of 24 feet per second. Joe's apartment building is 105 feet high, and he trows the basketball at a speed of 30 feet per second. a)write the function that describes the height of Joan's basketball, in terms of time measured in seconds. What kind of function is the height function? How do you know? b)Display the graph of the function you found from a) above.
Fit a Parabola: points (1,-10), (2,-30), (-2,2). a)Find the equation of the unique parabola that passes through the three points given. You must show all the algebra necessary to find the equation. b)Use substitutions to verify that each point satisfy the equation you found.
s=-1/2 gt2+v0 t+s0, where s is the height of the objected at time t seconds, g is 32 feet per second2 and v0 and s0 are the initial velocity and initial height, respectively. Two friends are in competition. Each stands on the roof of the apartment building where each one lives. At the same time, each friend stands at the edge of the roof and throws up a basketball as hard as possible. Joan's apartment building is 120 feet high, and she trows the basketball at a speed of 24 feet per second. Joe's apartment building is 105 feet high, and he trows the basketball at a speed of 30 feet per second. a)write the function that describes the height of Joan's basketball, in terms of time measured in seconds. What kind of function is the height function? How do you know? b)Display the graph of the function you found from a) above.
Fit a Parabola: points (1,-10), (2,-30), (-2,2). a)Find the equation of the unique parabola that passes through the three points given. You must show all the algebra necessary to find the equation. b)Use substitutions to verify that each point satisfy the equation you found.
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