- #1

- 655

- 0

## Homework Statement

## Homework Equations

As in the image above

## The Attempt at a Solution

I had a go but i rubbed it off the sheet.

Can someone take me through this step by step on how to solve it

Thanks

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- Thread starter thomas49th
- Start date

- #1

- 655

- 0

As in the image above

I had a go but i rubbed it off the sheet.

Can someone take me through this step by step on how to solve it

Thanks

- #2

HallsofIvy

Science Advisor

Homework Helper

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You are told that the equation must be of the form

S= at

You are given t and S values for 6 different values of t.

Putting the given x and t values into the equation above for 3 different values of t (t= 0, 2, 3, as they suggest, will do but the choice is yours) will give you 3 equations to solve for a, b, and c. (Taking t= 0 will get an especially easy equation!)

- #3

- 655

- 0

so

t=0: 0 = 0 + 0 + 0 (c will have to be 0 if a and b are)

t=1: 10 =a+b+c

t=2: 30 =4a+2b+c

is that right?

t=0: 0 = 0 + 0 + 0 (c will have to be 0 if a and b are)

t=1: 10 =a+b+c

t=2: 30 =4a+2b+c

is that right?

Last edited:

- #4

- 123

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so

t=0: 0 = 0 + 0 + 0 (c will have to be 0 if a and b are)

but where does it say a and b are 0?

t=0: 0 = a.0 + b.0 +c and hence c=0

the other equations are correct

- #5

- 655

- 0

if t = 0

then a x t = 0

b x t = 0

so c must be 0 if the equation equals 0

then a x t = 0

b x t = 0

so c must be 0 if the equation equals 0

- #6

- 123

- 0

Correct. Now use that you know c=0 in the other two equations

- #7

- 655

- 0

t=0: 0 = 0a + 0b + 0

t=1: 10 =a+b+c

t=2: 30 =4a+2b+c

cant I right them as that?

- #8

- 123

- 0

Yes they are correct but you now know that c = 0

so a+b+c=a+b

and

4a+2b+c=4a + 2b

so a+b+c=a+b

and

4a+2b+c=4a + 2b

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