Question

sofia rides her bike on different paths and records the following data:

trial	distance (m)	time (s)
2	15.0	5.0
3	12.0	4.0
4	18.0	3.0

which trials have the same average speed?

Explanation:

Step1: Recall speed formula

The formula for average speed is $v=\frac{d}{t}$, where $v$ is average speed, $d$ is distance, and $t$ is time.

Step2: Calculate speed for Trial 1

$v_1=\frac{d_1}{t_1}=\frac{20.0}{10.0}=2.0$ m/s

Step3: Calculate speed for Trial 2

$v_2=\frac{d_2}{t_2}=\frac{15.0}{5.0}=3.0$ m/s

Step4: Calculate speed for Trial 3

$v_3=\frac{d_3}{t_3}=\frac{12.0}{4.0}=3.0$ m/s

Step5: Calculate speed for Trial 4

$v_4=\frac{d_4}{t_4}=\frac{18.0}{3.0}=6.0$ m/s

Answer:

Trial 2 and Trial 3 have the same average speed.