Lab 0: Describing Motion in One Dimension 1.How can you tell from a velocity-ver

Question

Lab 0: Describing Motion in One Dimension

1.How can you tell from a velocity-versus-time graph that the moving object has changed direction?

2. What is the velocity at the moment the direction changes?

3. Is it possible to actually move your body (or an object) to make the vertical lines on the velocity graph you were trying to match? Why or why not?

4. Is it possible to actually move your body (or an object) to make vertical lines on a position-versus-time graph? Why or why not?

5. How can you tell from a position-versus-time graph that your motion is steady (motion at a constant velocity)?

6. How can you tell from a velocity-versus-time graph that your motion is steady?

7. What is the mathematical relationship between a position-versus-time graph and a velocity-versus-time graph?

Explanation / Answer

1. in the velocity versus time graph, when the velocity crosses from above x axius to below x axis, or vice versa, that is the point where velocity changes sign and hance the direction of the motion of the object has changed

2. at the moment the diorection changes, the velocity is crossing over from +ve to negative or vice versa, so it comes at rest momentarily, and hence the value of velocity is 0

3. vertical line on velocity time graph means that the velocity of the object has jumped from one value to another, while assuming all the values in between during the process, weithout changing position
this means infinite acceleration, which is not possible

4. vertical line on position time graph means that the position of the object has changed from one point to another without taking any time for this motion , and assuming all the values of position in between during the process, which means the object has infinite velocity at that instant which is physically impossible
this means infinite acceleration, which is not possible

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