A science teacher tells her class that their final project requires students to measure a specific variable and determine the velocity of a car with no more than 2.7% error. Jennifer and Johnny work hard and decide the velocity of the car is 35.87 m/s. The teacher informs them the actual velocity is 33.89 m/s. Will Jennifer and Johnny pass their final project?

Question

A science teacher tells her class that their final project requires students to measure a specific variable and determine the velocity of a car with no more than 2.7% error. Jennifer and Johnny work hard and decide the velocity of the car is 35.87 m/s. The teacher informs them the actual velocity is 33.89 m/s. Will Jennifer and Johnny pass their final project?

Answer 1

To determine if Jennifer and Johnny will pass their final project, we need to calculate the percentage error in their measurement of the car's velocity and compare it to the maximum allowed error of 2.7%.

The formula to calculate the percentage error is:

Percentage Error = |(Measured Value - Actual Value) / Actual Value| * 100

Let's plug in the values:

Measured Value = 35.87 m/s
Actual Value = 33.89 m/s

Now, let's substitute these values into the formula and calculate the percentage error:

Percentage Error = |(35.87 - 33.89) / 33.89| * 100
= |1.98 / 33.89| * 100
= 0.058 * 100
= 5.8%

The calculated percentage error is 5.8%.

Since the maximum allowed error is 2.7%, and the percentage error of Jennifer and Johnny's measurement is higher than that, it means their measurement does not meet the required accuracy. Therefore, they would not pass their final project.