Instantaneous Velocity with Position v. Time graph

  • #1

Homework Statement


The position v. time graph for a certain object moving along the x-axis is shown.

I don't have the graph. Bu I have the points.

(0,-2), (1,9), (4,4), (6,4), (8,-4), (9,0)


The object's initial position is -2m. Find the instantaneous velocity at .... (m/s)
a.) 0.5s
b.) 2.5s
c.) 5 s
d.) 8.5 s


Homework Equations



I think ....

Instantaneous Velocity = (Xf - Xi) / (Tf - Ti)


The Attempt at a Solution



Well, I really don't understand where to start. Looking at the graph, for 0.5 sec ... I put 4. That was incorrect.

I put in (4-(-2)) / (0.5 - 0) = 6/0.5 = 12. That's incorrect as well.

I think I really don't understand the correct thing to do. If someone could give me some guidance or direction as how to tackle this I'd appreciate it. Thanks in advance!
 

Answers and Replies

  • #2
543
1
The first thing you need to do is realize for each ordered pair (a,b) which value is position and which is time?
 

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