# Position vs time gizmo

Moving from left to right is positive velocity, so a velocity-time graph has a positive y-value when the runner is moving from left to right.

### Distance-time graphs gizmo answer key

Sometimes it isn't enough to just read about it. Change the Number of Points to 5. Negative because the turtle was going backwards. And if you take the average of a bunch of quantities, they're exactly the same. That's what this graph is representing, and that's how you read it. How does a velocity-time graph show that a runner is moving fast? In a horizontal axis it was always x. Create the position-time graph for Runner 1 shown at right.

Velocity describes both speed and direction, and can be positive or negative. You always gotta use rocket safety. Remember average velocity is the displacement per time.

Turtle was probably trying to figure out how to turn on her jet pack. Oops, AVG. Three meters, that's equal zero.

## Position vs time gizmo

Instead of having the vertical motion. This is gonna get a little subtle. So we gotta be careful, 'cause the speed is the magnitude of the total velocity. So these are actually really handy. We'll start at t equals zero. If the direction is right to left, velocity is negative. Because it turns out the slope of a position versus time graph is the velocity in that direction. What is this? But 10 seconds was the time it took for that entire displacement. So I got negative five meters minus x one that's this. It's all just right here. So recapping really quick. Rocketed back to five, well actually started at three, stood there for a second or two, rocketed back to five, rocketed back to three, ended at the same place she started, no total displacement.

Equals average value, sorry, absolute value of the instantaneous velocity.

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