Assignment # 18 Section 3 Topic 2. Representing, Naming, and Evaluating Functions. 1. A ball is thrown into the air with an initial velocity of 22 meters per second. The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of the ball above the ground, in meters, with respect to time t, in seconds. Part A: Determine h(3) and explain what it represents. Ihe graph below represents the height of the ball with respect to time. Height of the Ball Over Time 33 30 27 24 21 18 15 12 O.S 1.5 2.5 3.5 1.S Time, in seconds Part B: What is a reasonable domain for the function? Part C: what is a reasonable range for the function Height, in meters
Assignment # 18 Section 3 Topic 2. Representing, Naming, and Evaluating Functions. 1. A ball is thrown into the air with an initial velocity of 22 meters per second. The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of the ball above the ground, in meters, with respect to time t, in seconds. Part A: Determine h(3) and explain what it represents. Ihe graph below represents the height of the ball with respect to time. Height of the Ball Over Time 33 30 27 24 21 18 15 12 O.S 1.5 2.5 3.5 1.S Time, in seconds Part B: What is a reasonable domain for the function? Part C: what is a reasonable range for the function Height, in meters
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Assignment # 18 Section 3 Topic 2.
Representing, Naming, and Evaluating Functions.
1. A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Part A: Determine h(3) and explain what it represents.
The graph below represents the height of the ball with respect to time.
Height of the Ball Over Time
33
30
27
24
21
18
15
12
0.5
1.5
2.5
3.5
1.5
S.S
Time, in seconds
Part B: What is a reasonable domain for the function?
Part C: what is a reasonable range for the function?
2 On the moon, the time, in seconds, it takes for an object to fall a distance,
d, in feet, is given by the function f(d) =1.11yd.
Part A: Determine f(2) and explain what it represents.
Part B: The Imbrium Basin is the largest basin on the moon. A reasonable
domain for the height above the lowest point in the basin is given
by (d]0 sd s 3805774). What does this tell you about the basin?
Part C: How long would it take a rock to drop from the rim to the bottom
of the basin9
3. The function that represents the amount of caffeine, in milligrams,
remaining in a body after drinking two Mountain Dew sodas is given by
f(t) = 110(0.8855) where t is time in hours. How much caffeine is left in a
person's body 18 hours after drinking two Mountain Dew sodas
The function f(t) = 198.6 – xl, represents a person's variance from normal
body temperature, where x represents a person's current body
temperature in degrees Fahrenheit. Medical professionals say healthy
individuals should have a variance of no more than 0.5°F.
4.
Part A: What can be said of an individual with a body temperature of
99.4 F? Justify your answer.
Part B: What can be said of an individual with a body temperature of
98.4°F? Justify your answer.
Part C: What is a reasonable domain that would indicate the individual is
not healthye
Height, in meters](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57563c3c-a126-48f7-9e25-42102cd396b8%2Fb348da53-47b0-401f-b0e4-8f965fb6e601%2Fk087xt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assignment # 18 Section 3 Topic 2.
Representing, Naming, and Evaluating Functions.
1. A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Part A: Determine h(3) and explain what it represents.
The graph below represents the height of the ball with respect to time.
Height of the Ball Over Time
33
30
27
24
21
18
15
12
0.5
1.5
2.5
3.5
1.5
S.S
Time, in seconds
Part B: What is a reasonable domain for the function?
Part C: what is a reasonable range for the function?
2 On the moon, the time, in seconds, it takes for an object to fall a distance,
d, in feet, is given by the function f(d) =1.11yd.
Part A: Determine f(2) and explain what it represents.
Part B: The Imbrium Basin is the largest basin on the moon. A reasonable
domain for the height above the lowest point in the basin is given
by (d]0 sd s 3805774). What does this tell you about the basin?
Part C: How long would it take a rock to drop from the rim to the bottom
of the basin9
3. The function that represents the amount of caffeine, in milligrams,
remaining in a body after drinking two Mountain Dew sodas is given by
f(t) = 110(0.8855) where t is time in hours. How much caffeine is left in a
person's body 18 hours after drinking two Mountain Dew sodas
The function f(t) = 198.6 – xl, represents a person's variance from normal
body temperature, where x represents a person's current body
temperature in degrees Fahrenheit. Medical professionals say healthy
individuals should have a variance of no more than 0.5°F.
4.
Part A: What can be said of an individual with a body temperature of
99.4 F? Justify your answer.
Part B: What can be said of an individual with a body temperature of
98.4°F? Justify your answer.
Part C: What is a reasonable domain that would indicate the individual is
not healthye
Height, in meters
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