Question

1. A person throws a ball straight upwards at approximately 31 miles per hour (46 feet per second). The person releases the ball when it is 6 feet off the ground. Then the height H(t), in feet, of the ball after t seconds is modeled by the equation H(t) = -16t^2 + 46t + 6. a. Create a table and graph the function. Be sure to include the x-intercepts and the vertex of the function. Show how you found the x-intercepts and the vertex. b. Explain what the x-intercepts and the vertex tell you about the situation. Be specific. c. When does the ball reach a height of 30 feet? Give answers accurate to 4 decimal places. Show your work or explain the features you used on your technology. Check to see if your answer is reasonable by using the graph in part (a). d. Suppose that the ball is being thrown in a stadium during a night game. After one second the ball is so high that it is out of the range of the stadium lights and can longer be seen. When does the ball come back down within range of the lights and thus can be seen again?

          1. A person throws a ball straight upwards at approximately 31 miles per hour (46 feet per second). The person releases the ball when it is 6 feet off the ground. Then the height H(t), in feet, of the ball after t seconds is modeled by the equation H(t) = -16t^2 + 46t + 6.
a. Create a table and graph the function. Be sure to include the x-intercepts and the vertex of the function. Show how you found the x-intercepts and the vertex.
b. Explain what the x-intercepts and the vertex tell you about the situation. Be specific.
c. When does the ball reach a height of 30 feet? Give answers accurate to 4 decimal places. Show your work or explain the features you used on your technology. Check to see if your answer is reasonable by using the graph in part (a).
d. Suppose that the ball is being thrown in a stadium during a night game. After one second the ball is so high that it is out of the range of the stadium lights and can longer be seen. When does the ball come back down within range of the lights and thus can be seen again?

1. A person throws a ball straight upwards at approximately 31 miles per hour (46 feet per second). The person releases the ball when it is 6 feet off the ground. Then the height H(t), in feet, of the ball after t seconds is modeled by the equation H(t) = -16t^2 + 46t + 6.
a. Create a table and graph the function. Be sure to include the x-intercepts and the vertex of the function. Show how you found the x-intercepts and the vertex.
b. Explain what the x-intercepts and the vertex tell you about the situation. Be specific.
c. When does the ball reach a height of 30 feet? Give answers accurate to 4 decimal places. Show your work or explain the features you used on your technology. Check to see if your answer is reasonable by using the graph in part (a).
d. Suppose that the ball is being thrown in a stadium during a night game. After one second the ball is so high that it is out of the range of the stadium lights and can longer be seen. When does the ball come back down within range of the lights and thus can be seen again?

Added by Robert B.

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