A science teacher tells her class that their final project requires the students to measure a specific variable and determine the velocity of a car with no more than 2.5% error. Jennifer and Johnny work hard and decide the velocity of the car is 34.87 m/s. The teacher informs them that the actual velocity is 34.15 m/s. Will Jennifer and Johnny pass their final project?
34.87 * .025 = ?
Is 34.87 - 34.15 < ?
2.1
Yes
To determine if Jennifer and Johnny pass their final project, we need to calculate the percentage error in their measurement. The formula for percentage error is:
Percentage Error = (|Measured Value - Actual Value| / Actual Value) * 100
Substituting the values given:
Percentage Error = (|34.87 m/s - 34.15 m/s| / 34.15 m/s) * 100
Calculating:
Percentage Error = (0.72 m/s / 34.15 m/s) * 100
Percentage Error = 2.107%
Now, we compare the calculated percentage error with the 2.5% threshold given by the teacher.
Since the calculated percentage error (2.107%) is less than the allowed threshold (2.5%), Jennifer and Johnny will pass their final project.