Chapter 11.5, Problem 105E

To determine

a. To find:

The height of the filter above the river after 3 seconds.

To determine

b. To find:

The height of the filter above the river after 7 seconds.

To determine

c. To find:

The nearest whole second, to estimate when the filter lands in the river

To determine

d. To find:

To factor $2704-16t^2$

The Toroweap Overlook, on the North Rim of the Grand Canyon, lies 3000 vertical feet above the Colorado River. The view is spectacular, and the sheer drop is dramatic. A film crew creating a documentary about the Grand Canyon has suspended a camera platform 296 feet below the Overlook. A camera filter comes loose and falls to the river below. The height of the filter above the river, after $t$ seconds, is given by the expression $2704-16t^2$.