SOLUTION: A gazelle is running in a straight line along the x-axis. The graph in the figure shows this animal’s velocity as a function of time. During the first 12.0 s Here's the graph

Question 1184930: A gazelle is running in a straight line along the x-axis. The graph in the figure shows this animal’s velocity as a function of time. During the first 12.0 s
Here's the graph
https://www.studocu.com/en-us/document/carnegie-mellon-university/physics-i-for-engineering-students/week-2-homework-solutions/3574016
i don't understand how did they got the displacement can someone explain it to me thank you
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
At t=0 the speed was 4.0 and at t=10, the speed is 12 (m/sec)
But the speed changed over time, in this case linear.
The displacement is speed*time, so it is the average (for a linear function), which is 8 m/sec, multiplied by the total time (10 sec), or 80 m (note the units).
This is also the same formula for area of a trapezoid ((1/2) h (b1+b2))
the last distance goes from 12 m/sec to 0, but it is linear and over those 2 seconds, it is the average of those two values* the time of 2 seconds.
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