What does the area under the line on the graph represent?

Question

What does the area under the line on the graph represent?
the graph is in this: http://www.waukesha.k12.wi.us/South/physics1/1.1/n7.jpg

Answer 1

It's the total distance traveled during the time shown on the graph. For that matter, the area under the graph between any two points on the x axis is the total P between those two time points.

The area under a curve is found by taking the integral of the equation of the curve from the points between which the area is to be found. The integral is basically the opposite of the derivative, and the derivitve tells you the slope of the curve at any given point. So when you take the derivative with respect to time of something, you get the the change in that thing over time. If you take the deriviate of position with respect to time, then you get velocity. So if you have a graph showing change in position over time, and you take the integeral of it, you're left with just position. So at any one point on the graph, the integral would be the current position. If you add those all up, you get the total change in position. That's why the area under the curve of your graph (i.e. the integral of your graph) gives the total distance travelled.

Answer 2

The area under the line of a speed-time graph = speed*time = distance. Answer d.

Answer 3

Line under the graph is basically an Integral.

Integrate min/mi

and you get the total mi at a give time ; i think

Answer 4

Distance traveled.

Answer 5

Time
using x and y, it would be y
rise over run
(I think)