How do you solve for distance given speed and time?

1. m- meters
2. sec- seconds
3. If units aren't provided, just use the units you like, but be consistent
4. Always label the units of the axes
1. The speed vs. time graph is really important in constant speed problems
1. Multiply the units of the Y-axis by the units of the X-axis to get the units of area
1. The area of a speed vs. time graph is distance
1. Graph speed vs. time
2. Our speed begins at some height that we choose, and stays there, because it's constant
3. The length the given time
4. The height is the given speed
5. The area is the unknown distance
1. Remember that the area of a rectangle is just base times height
1. d- distance
2. tmatrix- the given time
3. smatrix- the given speed
1. d- distance
2. t- time
3. s- speed
4. Notice that we derived this constant speed equation from the graph alone!
1. m- meters
2. sec- seconds
3. When the area you have is not a rectangle, you can't just multiply the base by the height

If Neo flies to save Trinity at a maximum speed of smatrix, then show graphically how much distance he covers in a time tmatrix?