Question

find the equation of the following table of values:

t 0 1 2 3 4 5
v 1.5 1.3 1.4 2.0 2.4 2.7

where v is the velocity in m/s and t is time

Answer 1

it might be quadratic, let me check...

Answer 2

ok thanks

Answer 3

how am i supposed to use it lol

Answer 4

well, since i designed it, i think its quite intuitive lol

Answer 5

you have places to put in your data points; a quad only needs 3 data points to figure out; .....

Answer 6

the "how many we need to find" box is for an additional 'x' data point to either test or determine

Answer 7

this data doesnt match precisely to a quad tho; its close, but not exact

Answer 8

i used the end points and the middle and asked it to determine the intermediates and it didnt match exactly

Answer 9

i see could it be an exponential

Answer 10

with up to 5 points here, we could try to match it to an x^4 graph..... but yes, exponential is a likely possibility

Answer 11

no... not likely; the first and second and third points make a dip...

Answer 12

exponents dont dip lol

Answer 13

oh yeah woops

Answer 14

most likely a cubic ..... perhaps

Answer 15

do we have options?

Answer 16

i aint designed a cubic finder yet lol same principles; but with 4 poijts for reference and a new set of algorithms to figure out

Answer 17

no but i can write the whole question up if it clears anything

Answer 18

yes, all the info is better than just part of it :) you may have inadvertently left out some pertinent piece

Answer 19

An object is moving along the x-axis with values of the velocity v in m/s at time t given in the table above. Given that the distance traveled may be found by calculating the area under a velocity/time graph, use the trapezoidal rule to estimate the distance traveled by the particle in the first five seconds.

Answer 20

....... well then, lets use the trap rule lol

Answer 21

yeah i intend on using the trapezoidal rule after finding the equation of the graph

Answer 22

i think you need that first

Answer 23

why do the trap after finding an equation?

Answer 24

the directions clearly sate; use this info and apply the trap rule... i see no need to complicate it :)

Answer 25

but you can use the trapezoidal rule without an equation i believe lol

Answer 26

actually wait i think im very wrong lol

Answer 27

the trap rule, as well as the simpson rule, and all the other numerical analysises are for estimating to a certain degree of precision what integration does with precision when you CANT integrate

Answer 28

ok wait let me attempt it i think i over complicated for no reason

Answer 29

oh theres a reason.. but thats best suited for openstudy psychology lol

Answer 30

lol

Answer 31

omg i got the right answer im such an idiot

Answer 32

kinda paradoxal... your an idiot when you get the right answer ;)

Answer 33

lol thanks for your help

Answer 34

youre quite welcome ;)