Position vs. Time Graphs
Velocity vs. Time Graphs
Acceleration
100
Given the shape of this position time graph, in what direction is the acceleration (positive or negative?)
Positive
100
At which point(s) in the velocity time graph does the object undergo constant acceleration?
Points A and C
100
A car is traveling right at 12 m/s. The driver accelerates, and after 6 seconds, the car is traveling right at 30 m/s. What is the car's average acceleration? (assume right = +)
3 m/s2
200
Given the shape of this position time graph, is the object speeding up or slowing down?
Slowing down
200
What is the displacement of the object after 20 seconds, according to the velocity time graph?
100 m (must include units!)
200
A skateboarder is moving at 8 m/s left and slows down to 2 m/s to the left over a period of 3 seconds. What is the skateboarder's average acceleration? (assume right = +)
2 m/s2
300
Given the shape of this position time graph, in what direction is velocity? In what direction is acceleration?
both negative
300
What is the displacement of the object after 7 seconds?
0 m
300
A cyclist increases their velocity from 5 m/s right to 17 m/s right with an average acceleration of 3 m/s². How long does it take the cyclist to reach 17 m/s?
4 seconds
400
What is the acceleration of the object represented by this position time graph?
0
400
According to the velocity time graph, what is the object's acceleration?
1.42 m/s2 (10/7)
400
A train is traveling at -25 m/s (left) and begins slowing down with an acceleration of 2.5 m/s². How long does it take the train to slow to -10 m/s?
6 seconds
500
At which point on the position time graph is the object's velocity equal to 0?
Point C
500
A velocity time graph has a slope of 2 m/s2. At time = 0, the velocity is 8 m/s to the left. At time = 4 seconds, the velocity is 0 m/s. In what direction is acceleration? Is the object speeding up or slowing down?
Acceleration is to the right, the object is slowing down.
500
A rocket is traveling upward at 20 m/s. It accelerates upward at an average rate of 4 m/s² for 7 seconds. What is the rocket's final velocity?
48 m/s