CCSS Honors 9.3 Example 5

A weight is attached to a rod by a spring. The weight is pulled down, and then released. From the moment of release, the weight’s height above the floor (in feet) can be modeled approximately by from time until seconds. Use a calculator to determine, to the nearest tenth of a second, all the times during this time interval when the weight will be at a height of 5.6 feet, rounded to the nearest tenth.
  1. Analyze the function to determine how many answers there are.
  2. Use your calculator to determine the times that will produce a height of 5.6 feet.
  3. State the answer in the context of the original problem.