Question 1

When is the speed greater, at A or at B? Explain.

Accepted Answer

The speed is greater at B because for a given interval of time, more distance is covered.

Question 2

A) Write a short story that would yield this graph.

B) Write a short story that would yield the graph in part A, but with speed on the vertical scale instead of distance.

Accepted Answer

A) (example) Wile E. was out by his lookout point when he thought he saw Road Runner, so Wile E. ran steadily farther away from the cave until he was sure. It was Road Runner! Wile E. ran steadily back to the cave to get a net, and then ran even faster back to his lookout point. Even though he looked and looked, he did not see Road Runner.
B) (example) Wile E. ran out of his cave at a steadily increasing speed, and then he slowed down at a constant rate, looking for Road Runner. He saw Road Runner and stopped, but then he immediately ran at a faster and faster speed until he reached his starting speed. He then kept running at that speed.

Question 3

Wile E. Coyote left school at a slow but steady pace, heading for his cave. When he was one-third of the way to the cave, he realized that he had forgotten his math book, so he ran back to school to get it. While he was at school, he played for a while with some other coyotes. He then realized that he would be late for supper, so he started jogging at a steady rate toward the cave. About halfway to the cave, he thought that he was still going to be late, so he ran faster and got to the cave in time for supper.
Draw two qualitative graphs for the story. One should show Wile E.'s distance from the cave versus time since he left school. The second graph should show Wile E.'s total distance traveled versus time since he left school. The two graphs should be coordinated so that corresponding times line up.

Accepted Answer

The graph should look something like the following. Judge relative distances according to the standards your classwork has set.

Question 4

Give the indicated companion graph in each case. 
A.

B.

Accepted Answer

A) The speed-time graph should have two

Question 5

Below is a flask for water. Sketch a graph to show the relationship of the volume of the water in the flask and the height of the water as water is poured into the empty flask in a steady stream.

Accepted Answer

The answer of Below is a flask for water. Sketch...

Question 6

This is an acceptable story for the graph below: "I rode my bike up a hill and then down the other side."

Accepted Answer

A) True 
 B)False

Question 7

Wile E. walked out of the cave toward Road Runner's usual resting spot, and after a while, he started slowly crawling to sneak up on Road Runner. Road Runner saw Wile E., however, and with Wile E. close behind, he ran very fast to a secret hiding place at Wile E.'s cave.
Make qualitative graphs for the story on the following three coordinate systems. The systems are aligned so that your graph can show events at the same time for the different quantities.

Accepted Answer

The answer of Wile E. walked out of the cave...

Question 8

Wile E. Coyote left school at a slow but steady pace, heading for his cave. When he was one-third of the way to the cave, he realized that he had forgotten his math book, so he ran back to school to get it. While he was at school, he played checkers for a while with some other coyotes. He then realized that he would be late for supper, so he started jogging at a steady rate toward the cave. About halfway to the cave, he thought that he was still going to be late, so he ran faster and got to the cave in time for supper.
Draw two qualitative graphs for the story. One should show Wile E.'s distance from the cave versus time since he left school. The second graph should show Wile E.'s speed versus time since he left school. The two graphs should be coordinated so that corresponding times line up. Do not worry about negative speeds.

Accepted Answer

The answer of Wile E. Coyote left school at a...

Question 9

Complete the following statements.
A) At a speed of 80 meters/minute, Dude can go 170 meters in _____ minutes _____ seconds (exactly).
B) For a turtle's trip of n feet in 10 seconds, turtle's speed is _____.
C) A trip of m feet at a speed of 25 feet per second takes _____ seconds.

Accepted Answer

A) 2; 7.5
B) @#LAT-DLM& feet p

Question 10

Complete a qualitative distance-time graph for the following story. Make clear what your distance refers to.
Wile E. is in his cave and then walks slowly toward a canyon, planning to make a trap for Road Runner. Halfway there he stops for a short rest. Then he jogs on to make up for lost time. When he gets to the canyon, he realizes that it is almost time for Animal Planet on TV, so he runs as fast as he can back to the cave.

Accepted Answer

The answer of Complete a qualitative distance-time graph for the...

When is the speed greater, at A or at B? Explain.

A) Write a short story that would yield this graph. B) Write a short story that would yield the graph in part A, but with speed on the vertical scale instead of distance.

Give the indicated companion graph in each case. A. B.

Below is a flask for water. Sketch a graph to show the relationship of the volume of the water in the flask and the height of the water as water is poured into the empty flask in a steady stream.

This is an acceptable story for the graph below: "I rode my bike up a hill and then down the other side."

Complete the following statements. A) At a speed of 80 meters/minute, Dude can go 170 meters in ___ minutes _ seconds (exactly). B) For a turtle's trip of n feet in 10 seconds, turtle's speed is _. C) A trip of m feet at a speed of 25 feet per second takes ___ seconds.

Reasoning About Quantities

Numeration Systems

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Further Topics in Algebra and Change

Polygons

Polyhedra

Symmetry

Tessellations

Similarity

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Dealing With Multiple Data Sets or With Multiple Variables

Variability in Samples

Special Topics in Probability

Filters

Exam 14: Understanding Change: Relationships Among Time, Distance, and Rate

When is the speed greater, at A or at B? Explain.

A) Write a short story that would yield this graph. B) Write a short story that would yield the graph in part A, but with speed on the vertical scale instead of distance.

Give the indicated companion graph in each case. A. B.

Below is a flask for water. Sketch a graph to show the relationship of the volume of the water in the flask and the height of the water as water is poured into the empty flask in a steady stream.

This is an acceptable story for the graph below: "I rode my bike up a hill and then down the other side."

Complete the following statements. A) At a speed of 80 meters/minute, Dude can go 170 meters in _____ minutes _____ seconds (exactly). B) For a turtle's trip of n feet in 10 seconds, turtle's speed is _____. C) A trip of m feet at a speed of 25 feet per second takes _____ seconds.

Reasoning About Quantities

Numeration Systems

Understanding Whole Number Operations

Some Conventional Ways of Computing

Using Numbers in Sensible Ways

Meanings for Fractions

Computing With Fractions

Multiplicative Comparisons and Multiplicative Reasoning

Ratios, Rates, Proportions, and Percents

Integers and Other Number Systems

Number Theory

What Is Algebra

A Quantitative Approach to Algebra and Graphing

Further Topics in Algebra and Change

Polygons

Polyhedra

Symmetry

Tessellations

Similarity

Curves, Constructions, and Curved Surfaces

Transformation Geometry

Measurement Basics

Area, Surface Area, and Volume

Counting Units Fast: Measurement Formulas

Special Topics in Measurement

Quantifying Uncertainty

Determining More Complicated Probabilities

Introduction to Statistics and Sampling

Representing and Interpreting Data With One Variable

Dealing With Multiple Data Sets or With Multiple Variables

Variability in Samples

Special Topics in Probability

Filters

Complete the following statements. A) At a speed of 80 meters/minute, Dude can go 170 meters in ___ minutes _ seconds (exactly). B) For a turtle's trip of n feet in 10 seconds, turtle's speed is _. C) A trip of m feet at a speed of 25 feet per second takes ___ seconds.