An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?
A train moves at constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
A car moves at a constant speed of 50 miles per hour. How long does it take the car to go 200 miles?
How can you see the [i]direction[/i] of movement in the expression?
Using a starting position [math]p[/math], a speed [math]s[/math], and a time [math]t[/math], write two expressions for an ending position. One expression should show the result of moving right, and one expression should show the result of moving left.
[size=150]A traffic safety engineer was studying travel patterns along a highway. She set up a camera and recorded the speed and direction of cars and trucks that passed by the camera. Positions to the east of the camera are positive, and to the west are negative.[br][br][img]data:image/png;base64,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[/img][br][br]Vehicles that are traveling towards the east have a positive velocity, and vehicles that are traveling towards the west have a negative velocity.[/size]
If a car is traveling east when it passes the camera, will its position be positive or negative 60 seconds after it passes the camera? If we multiply two positive numbers, is the result positive or negative?
If a car is traveling west when it passes the camera, will its position be positive or negative 60 seconds after it passes the camera? If we multiply a negative and a positive number, is the result positive or negative?
What could it mean if we say that water is flowing at a rate of -5 gallons per minute?
Make up another situation with a negative rate, and explain what it could mean.