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Physics Graphs: Velocity vs. Time

The following graph represents the velocity of a particle as it moves along a straight line. Use the data on the graph to answer the questions.
 

General Questions


What is the particle's instantaneous velocity at t = 5 seconds?
1. 





What is the particle's instantaneous speed at t = 5 seconds?
2. 





When is the particle at rest?
3. 





When is the particle moving in a positive direction? a negative direction?
4. 





What is the magnitude and direction of the particle's acceleration at t = 15 seconds?
5. 





 
Which description matches the particle's behavior at t = 15 seconds.
6. 








Which description matches the particle's behavior at t = 6.75 seconds.
7. 








How far and in what direction did the particle travel between 2-5 seconds? This is called the particle's displacement.
8. 





 
How far and in what direction did the particle travel between t = 14 seconds and t = 20 seconds?
9. 





Estimate the particle's net displacement over the entire 20 second interval. You can either use the area formulas for rectangles, trapezoids, and triangles or you can use the "counting squares method."  
10. 





Given the information that the particle was initially at position s = 35 meters, use your answer from the previous question to find where the particle would be located at the end of the 20-second interval shown on the graph.
11. 








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