Question

T (second) V (m/s)
1 0
2 10.0
3 19.9
4 30.1
5 39.0
6 49.6

Calculate average acceleration
Draw a graph
Calculate slope of graph
Calculate percentage error if the acceptable value is 9.8m/S^2

Answer 1

There are several ways to approach this problem. The most simple and probably the most inaccurate is to simple take the end points. That is\[a = {\Delta v \over \Delta t} = {49.6 - 0 \over 6-1}\]
This yields a reasonable close result.

We could also find the acceleration between all the points and then average the accelerations. \[a = {\sum_{i=2}^{n-1} {v_i - v_{i-1} \over t_i - t_{i-1}} \over n }\]

Finally, we could find the least-squares fit of that data.

Answer 2

Could i also do (10.0-0)/(2-1)?

Answer 3

That would be analogous to my first method. (That produces, incidentally, more of an error.)

Answer 4

but i can do it either way correct?

Answer 5

You could. I would recommend using the endpoints. It is the better way.

Answer 6

so would the next one be (49.6-10.0)/(6-2)?

Answer 7

I think you only need to do one calculation since average acceleration means the displacement velocity during the time which what the eashmore wrote is true and you only need to do that calc. the slope will have the same answer too since it is also using the same formula which is derivative

Answer 8

so u can u help me? im noy actually sure what to do :(