Avg. Speed vs. Instantaneous Speed
A Point in Time
Delta
Applying Delta to Speed
Is Definition of Speed Coherent?
100

Speed is the intermingling of what two concepts?

Space and time

100

When considering a line, what are the two kinds of objects to keep in mind when considering a line?

Line segments and points

100

What was calculus created to do?

Solve the problem of change.

100

Why are we using v to stand for speed?

"V" means velocity and in this book velocity and speed are interchangeable. 

100

What is the paradox of speed?

Instantaneous speed does not seem to make any sense. In an instant of time, no time passes, nd if no time passes, then no distance can be travelled. The paradox is that in any given instant, no motion occurs, but this does not fit with our observations.

200

How fast an object is moving is called?

Speed or Velocity

200

What is a time interval?

A segment in time

200

In words, what does Delta mean?

Delta means "change in"

200

In terms if /\, what did d stand for?

In terms of /\, d stands for a very, very small, infinitesimally small change in something.

300

Velocity in mathematical terms is 

V = d/t

velocity is the distance divided by the time too to travel said distance

300

What are time intervals analogous to?

Line segment

300

What is /\t shorthand for?

"change in time"

300

In terms of /\, what is vavg?

Vavg = /\x / /\t

400
 Which is more important to you when calculating your driving speed if you hit a building? Your average speed or your instantaneous speed? Why?

Instantaneous speed because what matters is the speed at the moment or instant you hit the building.  

400

What is an instant in time analogous to?

A point

400

What does /\x mean?

"Change in location" 

500

What is the difference between average speed and instantaneous speed?

Average speed refers to the speed you were traveling over an interval of time. Instantaneous speed refers to how fast you are going at any given moment or instant.

500

Why might someone say average speed does not really exist?

Average speed does not describe the speed you are traveling at any given moment. It might not tell us what was actually happening.

500

Why might we say that the symbol for Delta represents what calculus is all about?

Because the symbol means "change in". Since calculus is about solving the problem of change, this symbol carries a lot of meaning. 

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