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AlgebraQ&A LibraryIf we stand on top of a 130-foot building and throw a ball up into the air with an initial velocity of 25 feet per second, then the height of the ball above the ground is given by the following.H = −16t2 + 25t + 130Here t is time in seconds, and H is measured in feet.(a) Complete the following table giving the value H at time t.tH0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4 (c) Find the value of t that maximizes H. (Round your answer to two decimal places.)t = sec(d) Find the maximum value of H. (Round your answer to two decimal places.)H = ftQuestion

Asked Dec 12, 2019

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If we stand on top of a 130-foot building and throw a ball up into the air with an initial velocity of 25 feet per second, then the height of the ball above the ground is given by the following.
Here *t* is time in seconds, and *H* is measured in feet.

H = −16t^{2} + 25t + 130

(a) Complete the following table giving the value *H* at time *t*.

(c) Find the value of*t* that maximizes *H*. (Round your answer to two decimal places.)

*t* = sec

(d) Find the maximum value of*H*. (Round your answer to two decimal places.)

*H* = ft

t |
H |
---|---|

0 | |

0.25 | |

0.5 | |

0.75 | |

1 | |

1.25 | |

1.5 | |

1.75 | |

2 | |

2.25 | |

2.5 | |

2.75 | |

3 | |

3.25 | |

3.5 | |

3.75 | |

4 |

(c) Find the value of

(d) Find the maximum value of

Step 1

Part a) Complete the given table

Part b) Determine the value of t for which the height is maximum.

Part c) Determine the maximum height.

Step 2

**Given:**

Step 3

Compute the value of the function h(t) for different va...

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