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

Answer:

Yes

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:

$Err = \frac{v_m - v}{v}\cdot 100 = \frac{34.87 m/s-34.15 m/s}{34.15 m/s}\cdot 100 =0.021 \cdot 100 = 2.1 \%$

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