Question

Four students measured the acceleration of gravity. The accepted value for their location is 9.78m/s2. Which student’s measurement has the largest percent error?
A. Student 4: 9.61 m/s2
B. Student 3: 9.88 m/s2
C. Student 2: 9.79 m/s2
D. Student 1: 9.78 m/s2

Answer 1

On comparing values , we see that student which has the largest percent error is A. Student 4: 9.61 m/s2 .

Explanation:

Here, we have Four students measured the acceleration of gravity. The accepted value for their location is 9.78m/s2. Let's calculate which student’s measurement has the largest percent error :

A. Student 4: 9.61 m/s2

Percentage of error  = $\frac{9.78-9.61}{9.78} (100) = 1.738%$ %.

B. Student 3: 9.88 m/s2

Percentage of error  = $\frac{9.88-9.78}{9.78} (100) = 1.022%$ %.

C. Student 2: 9.79 m/s2

Percentage of error  = $\frac{9.79-9.78}{9.78} (100) = 0.1022%$% .

D. Student 1: 9.78 m/s2

Percentage of error  = $\frac{9.78-9.61}{9.78} (100) = 0%$% .

On comparing values , we see that student which has the largest percent error is A. Student 4: 9.61 m/s2 .