Question

Michelle and Brian measured the acceleration of a cart rolling on an inclined track with one block under one end, and found that the acceleration was 0.482 m/s2. On another table, Yasin and Cameron found, with a similar setup, an acceleration of 0.718 m/s^2. a. What is the percent difference between the result found by Yasin and Cameron.b. What is the percent difference between the two results when you treat them as "equivalent"?

Answer 1

Step-by-step explanation:

acceleration observed by Michelle and Brain
`a_(mb)=0.482\ m/s^2`

acceleration observed by Yasin and Cameron is
`a_(yc)=0.718\ m/s^2`

Absolute error =|true value-measured value|

Absolute error
`=|0.482-0.718|`

Absolute error
`=|-0.236|=0.236`

Relative error
`=(absolute\ error)/(true\ value)`

`=(0.236)/(0.482)`

`=0.4896`

percent error
`=relative\ error* 100`

`\%\ error=48.96`

Percent difference
`=(absolute\ error)/(airthmetic\ mean)* 100`

Percent difference
`=(0.236)/(0.6)* 100=39.66 \%`