the chart indicates the time, speed, and velocity of five runners. which best describes the runners? runner…

the chart indicates the time, speed, and velocity of five runners. which best describes the runners? runner total time speed velocity garreth 40 minutes 6.2 mph 5.5 mph west luigi 35 minutes 5.0 mph 4.3 mph east elisa 40 minutes 6.2 mph 5.5 mph west jasmine 35 minutes 5.0 mph 4.0 mph south logan 35 minutes 5.6 mph 4.0 mph north garreth and elisa ran the same distance but not the same displacement, luigi and jasmine went the same displacement, and logan ran faster than jasmine. garreth ran farther than luigi, elisa and jasmine went the same distance, and logan and jasmine has the same displacement in the opposite direction. garreth and elisa ran together, luigi and jasmine went the same distance, and logan and jasmine have the same displacement in the opposite direction. garreth ran less than logan, elisa and jasmine went the same displacement, and luigi and garreth ran together.

the chart indicates the time, speed, and velocity of five runners. which best describes the runners? runner total time speed velocity garreth 40 minutes 6.2 mph 5.5 mph west luigi 35 minutes 5.0 mph 4.3 mph east elisa 40 minutes 6.2 mph 5.5 mph west jasmine 35 minutes 5.0 mph 4.0 mph south logan 35 minutes 5.6 mph 4.0 mph north garreth and elisa ran the same distance but not the same displacement, luigi and jasmine went the same displacement, and logan ran faster than jasmine. garreth ran farther than luigi, elisa and jasmine went the same distance, and logan and jasmine has the same displacement in the opposite direction. garreth and elisa ran together, luigi and jasmine went the same distance, and logan and jasmine have the same displacement in the opposite direction. garreth ran less than logan, elisa and jasmine went the same displacement, and luigi and garreth ran together.

Answer

Explanation:

Step1: Recall distance - speed - time formula

Distance (d = s\times t), where (s) is speed and (t) is time.

Step2: Calculate distance for Garreth

(t_{G}=40) minutes (=\frac{40}{60}=\frac{2}{3}) hours, (s_{G} = 6.2) mph. So (d_{G}=6.2\times\frac{2}{3}=\frac{12.4}{3}\approx4.13) miles.

Step3: Calculate distance for Luigi

(t_{L}=35) minutes (=\frac{35}{60}=\frac{7}{12}) hours, (s_{L}=5.0) mph. So (d_{L}=5\times\frac{7}{12}=\frac{35}{12}\approx2.92) miles.

Step4: Calculate distance for Elisa

(t_{E}=40) minutes (=\frac{2}{3}) hours, (s_{E}=6.2) mph. So (d_{E}=6.2\times\frac{2}{3}=\frac{12.4}{3}\approx4.13) miles.

Step5: Calculate distance for Jasmine

(t_{J}=35) minutes (=\frac{7}{12}) hours, (s_{J}=5.0) mph. So (d_{J}=5\times\frac{7}{12}=\frac{35}{12}\approx2.92) miles.

Step6: Calculate distance for Logan

(t_{Lo}=35) minutes (=\frac{7}{12}) hours, (s_{Lo}=5.6) mph. So (d_{Lo}=5.6\times\frac{7}{12}=\frac{39.2}{12}\approx3.27) miles.

Step7: Analyze displacement

Displacement is a vector quantity. Garreth and Elisa have the same speed and velocity (same direction), so they ran together. Luigi and Jasmine have the same time and speed, so they went the same distance. Logan and Jasmine have the same magnitude of velocity in opposite directions, so they have the same displacement in the opposite direction.

Answer:

Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.