The height, h, in feet, of an object dropped from the top of the Empire State Building can be estimated using the equation h = - 16t to the power of two + 1,454, where t is the time in seconds after the object is dropped. Which is the best estimate for how far above the ground the object will be after 8 seconds?

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Mathematics

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28 March, 11:01

The height, h, in feet, of an object dropped from the top of the Empire State Building can be estimated using the equation h = - 16t to the power of two + 1,454, where t is the time in seconds after the object is dropped. Which is the best estimate for how far above the ground the object will be after 8 seconds?

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Elsa · Answer 1

To determine the height of the object after a certain time it is dropped, we simply substitute the time to the function given. We calculate as follows:

h = - 16t^2 + 1454

h = - 16 (8^2) + 1454

h = 430 feet above the ground

Hope this answers the question. Have a nice day.