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A car is traveling at a constant speed of 60 miles per hour. How far does the car travel in:
A traffic safety engineer was studying traffic patterns. She set up a camera to record the speed and direction of cars and trucks that passed by. She decided to represent positions to the east of the camera with positive numbers and positions to the west of the camera with negative numbers.
A car is traveling east at 12 meters per second. Where will it be 10 seconds after it passes the camera?
A car is traveling west at -14 meters per second. Where will it be 10 seconds after it passes the camera?
| velocity (meters per second) |
time after passing the camera (seconds) |
position (meters) |
equation | |
|---|---|---|---|---|
| car A | +12 | +10 | +120 | |
| car B | -14 | +10 | ||
| car C | +9 | +5 | ||
| car D | -11 | +8 | ||
| car E | -15 | +20 | ||
| car F | +8 | 0 |
Complete the sentences. Be prepared to explain your reasoning.
A positive number times a positive number equals a _______________________.
A negative number times a positive number equals a _______________________.
The table shows how much carbon dioxide, on average, is released by each of these things in one year.
| object | average amount of carbon dioxide released in a year (kilograms) |
|---|---|
| campfire | 9 |
| car | 4,500 |
| semi-truck | 200,000 |
| oak tree | -22 |
| pine tree | -10 |
| oyster | -0.004 |
| clam | -0.003 |
We can use signed numbers to represent the position of an object along a line. We pick a point to be the reference point and call it zero. Positions to the right of zero are positive. Positions to the left of zero are negative.
When we combine speed with direction indicated by the sign of the number, it is called velocity. For example, if you are moving 5 meters per second to the right, then your velocity is +5 meters per second. If you are moving 5 meters per second to the left, then your velocity is -5 meters per second.
If you start at zero and move 5 meters per second for 10 seconds, you will be 50 meters to the right of zero. In other words,
If you start at zero and move -5 meters per second for 10 seconds, you will be 50 meters to the left of zero. In other words,
In general, a negative number times a positive number is a negative number.