A skydiver jumps from a plane 10,000 feet above ground level. The height of the skydiver above the ground, in feet, can be modeled using the polynomial −32t2+10,000−32t2+10,000 in the absence of friction. Use the interactive below to calculate the average velocity over various intervals and to make observations about the relationship between average velocity and instantaneous velocity.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 68E
Question

A skydiver jumps from a plane 10,000 feet above ground level. The height of the skydiver above the ground, in feet, can be modeled using the polynomial −32t2+10,000−32t2+10,000 in the absence of friction. Use the interactive below to calculate the average velocity over various intervals and to make observations about the relationship between average velocity and instantaneous velocity.

 

 

INTERACTIVE
Skydiver
Height (ft)
12000
10000
8000
6000
TRY IT >
4000
2000
4
6
10
12
14
16
18
Time (s)
Transcribed Image Text:INTERACTIVE Skydiver Height (ft) 12000 10000 8000 6000 TRY IT > 4000 2000 4 6 10 12 14 16 18 Time (s)
1.
From 0 to 5 seconds, the change in time was
and the skydiver's change in
height was
feet. His average
velocity in that time period was
feet per second.
Check It
Transcribed Image Text:1. From 0 to 5 seconds, the change in time was and the skydiver's change in height was feet. His average velocity in that time period was feet per second. Check It
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