distance-time graphs

1) What is the meaning of slope on a d-t graph?

2) How would you find displacement on a d-t graph?

3) How can you tell when the object is speeding up? Slowing down?

4) Between which times is the object moving forward?

5) When is it accelerating? What is wrong with the accelerations, as shown in this graph?

6) Using the d-t graph above, what is the average velocity between 2.0 and 3.5 s?

7) What is the instantaneous velocity at 1.0 s?

8) Find the average velocity for the entire graph.

9) Convert the d-t graph above to a v-t graph below.

10) Using the first d-t graph, what is the displacement between 2.0 and 3.5 s?

11) What is the distance moved between 2.0 and 3.5 s?

12) Find the displacement for the entire graph.

13) Find the distance moved for the entire graph.

14) What is the instantaneous velocity at 1.0 second?

15) What is the instantaneous velocity at 5.0 seconds?

16) What is the instantaneous velocity at 8.0 seconds?

17) Finally, use two of the three velocities you just calculated to find the acceleration shown by this graph. Use the definition of acceleration, a = Δv/Δt, rather than one of the kinematic equations involving distance.