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 2.5% 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?

Answer 1

Yes

Step-by-step explanation:

The velocity measured by Jennifer and Johnny is

`v_m = 34.87 m/s`

The actual velocity is

`v=34.15 m/s`

We can calculate the % error of the students measurement as follows:

`Err = (v_m - v)/(v)\cdot 100 = (34.87 m/s-34.15 m/s)/(34.15 m/s)\cdot 100 =0.021 \cdot 100 = 2.1 \%`

Which is lower than the 2.5% maximum error required, so the two students will pass the test.