Math Problem Statement
An orange falling from 28 feet has a height of s(t) = 28 − 16t2 feet when it has fallen for t seconds. Make a table to record the average rates that the orange is falling during the last second, half-second, quarter-second, and eighth-of-a-second of its fall. (Round your answers to three decimal places.)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Average Rate of Change
Quadratic Functions
Formulas
s(t) = 28 - 16t^2
Average Rate of Change (AROC) = (s(t2) - s(t1)) / (t2 - t1)
Theorems
Quadratic Equations
Rate of Change Theorem
Suitable Grade Level
Grades 11-12
Related Recommendation
Average Rate of Change in the Height of a Flare Over Time
Finding Average Velocity in a Quadratic Motion
Calculating Average and Instantaneous Velocity of a Falling Object
Average and Instantaneous Velocity of a Ball Using Quadratic Functions
Projectile Motion: Finding Average Rate of Change and Understanding the Difference Quotient