Finding this displacement on a v/t graph

1 reply · 3K views · last reply
jeffc93
Messages
3
Reaction score
0

Homework Statement



Velocity versus time graph with velocity in m/s on the vertical axis from -10.0 to 10.0 and time in s on the horizontal axis from 0 to 20.0. The line starts at about 12 m/s, stays flat until about 5 s, then falls linearly to about -5 m/s near 13 s, and stays flat at that value to 20 s.


there's a picture of the graph and i need to determine the displacement of the object within the first 18seconds of it. (in meters)

Homework Equations



area below line is displacement (i thought?)

The Attempt at a Solution



i just did some basic things:

i found the height which is 18.

and then i found the areas of all the triangles and rectangles under the line and added them up and got 171 or -171 but its not right

any help?

any help would be greatly appreciated, therefore i could do the rest on my own :)
 
Welcome to PF!

Hi jeffc93! Welcome to PF! :smile:
jeffc93 said:
area below line is displacement (i thought?)

Nope :redface: …

area between line and horizontal axis (with areas below the axis counting as negative) is displacement. :wink: