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?
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