There is no match moving in a negative direction and losing speed.
D is moving in a positive direction and gaining speed at a low rate.
C is traveling at a steady rate in a postive direction.
There is no match at rest for an extended line.
A is moving in a positive direction but losing speed.
B is moving in a positive direction and gaining speed at a rapid rate.
0-10 minutes, 10-15 minutes, and 15-30 minutes traveled in a positive direction
30-40 minutes and 40-45 minutes traveled in a negative direction.
In the first 10 minutes the car traveled 300 meters and it's average acceleration during this time inerval was 6 m/min2 displacement = area displacement = ½(10 min)(60 m/min) displacement = 300 meters, positive acceleration = slope acceleration = (60 m/min - 0 m/min) / 10 min acceleration = 6 m/min2
It's behavior between 10 and 15 minutes was that it traveled 300 meters at a constant velocity of 60 m/min during these 5 minutes.
It's average acceleration between 10 and 15 minutes was 0 m/min2
The car traveled 450 meters between 15 and 30 minutes. The average acceleration during this time interval was -4 m/min2 displacement = area displacement = ½(15 min)(60 m/min) displacement = 450 meters acceleration = slope acceleration = (0 m/min - 60 m/min) / 15 min acceleration = -60 m/min / 15 min acceleration = -4 m/min2
The car traveled 200 meters between 30 and 40 minutes. The average acceleration during this time interval was -4 m/min2 displacement = area displacement = ½(-40 m/min - 0 m/min) x (10 min) displacement = ½(-40 m/min) x (10 min) displacement = -200 meters acceleration = slope
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