The graph below tracks the descent of a skydiver with an open parachute at 1200 m high. Ken made two attempts to determine the rate of change of the descent of the parachutist because his first attempt did not make sense to him.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) Explain why the first attempt did not make sense to Ken.

2)Explain why the second attempt does not work out to be the correct rate of change either.

3) Determine the correct rate of change.

4) Explain what the rate of change means in terms of the skydiver’s decent.

The graph below tracks the descent of a skydiver with an open parachute at 1200 m high. Ken
made two attempts to determine the rate of change of the descent of the parachutist because his
first attempt did not make sense to him.
Descent of a Skydiver
1 300
1 200
1 100
1 000
900
Height
Above
800
Ground
700
(m)
600
500
400
300
200
100
2
3
4
5
6
7
8 9
10 11 12 13 14 15 16
Time (min)
Ken's first attempt at the rate of change:
Ken's second attempt at the rate of change:
rise
rise
m =
m =
run
run
У2 — У
y2 - yı
m =
m =
X2 – X1
X2 – X1
STEP 1:
STEP 1:
15 – 1 200
0 – 0
1 200 – 0
15 – 0
m =
m =
STEP 2:
STEP 2:
-1185
1200
m =
15
m =
m = undefined
m= 80 m/min
Transcribed Image Text:The graph below tracks the descent of a skydiver with an open parachute at 1200 m high. Ken made two attempts to determine the rate of change of the descent of the parachutist because his first attempt did not make sense to him. Descent of a Skydiver 1 300 1 200 1 100 1 000 900 Height Above 800 Ground 700 (m) 600 500 400 300 200 100 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Time (min) Ken's first attempt at the rate of change: Ken's second attempt at the rate of change: rise rise m = m = run run У2 — У y2 - yı m = m = X2 – X1 X2 – X1 STEP 1: STEP 1: 15 – 1 200 0 – 0 1 200 – 0 15 – 0 m = m = STEP 2: STEP 2: -1185 1200 m = 15 m = m = undefined m= 80 m/min
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