desperate!!?

Question

why is this a graph of constant speed? http://www.tea.state.tx.us/student.assessment/resources/online/2006/grade10/math/images/12graphicaa.gif
i don't know how to explain.

Answer 1

The slope of the distance function is constant. (The distance vs time graph is a straight line.)

Answer 2

Short answer: because it's a straight line on a distance-vs-time graph.

Notice how the time is marked every 1/6 of an hour. During each one of these intervals, the distance changes by the same amount. Say you go for a run: you run a mile in the first 1/6 of an hour, another mile in the next 1/6 of an hour, and so on...Same change in distance during the same amount of time, so your speed is constant.

Answer 3

check out the middle of the page in this web link.
http://www.physicsclassroom.com/Class/1DKin/U1L3a.html
you should read the web page first incase its better than my explanation. velocity is how far you move in block of time. like miles per hour or feet per second. see how its a distance per time. as long as velocity is the same then the graph of distance vs time will be flat and will have no curvy places. if you are moving along at a certain velocity, or distance in a block of time, then suddenly during this one particular block of time you cover more distance than you did in the last time block, the graph has to bow and curve, it cant remain straight.

Answer 4

if speed is constant( and velocity,a vector maintains its direction)
d=v*t
If instead d you put y ,m instead v and x instead t you
get
y=m*x
You know thats a line through (0,0)