In the lab Michelle and Brian measured the acceleration of a

In the lab, 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/s2. a. What is the percent difference between the result found by Yasin and Cameron, aY&C, in terms of the result of Michelle and Brian, aM&B? That is, Michelle\'s and Brian\'s result is considered the reference. Percent difference between aY&C and aM&B in terms of aM&B: 48.9626 Correct: Your answer is correct. % b. What is the percent difference between the two results when you treat them as \"equivalent\"? Percent difference between aY&C and aM&B when both are \"equivalent\": Incorrect: Your answer is incorrect. %

Solution

a_mb = 0.482 m/s²

a_yc = 0.718 m/ s²

Absolute error = | true value - measured value|

=| 0.482- 0.718| = 0.236

Reltaive error = absolute error / true value

= 0.236/0.482 = 0.489626

Percentage error = relative error *100

= 0.489626*100 = 48.9626

Percent difference = (absolute error/arthimetic mean )100

=( 0.236/0.6)100 = 39.33%