A runner does 1.5 laps around a 400-‐m
track in 77s. What is his average velocity?
isn't the formulas for ave velocity is displacement/time. When I plug number is different from the Professor Answers. My professor answer is 2.6 m/s. Please help me to understand he question.
Thank You
1.5 laps is 600 m
600 m / 77 s = 7.8 m/s
it's a straight forward calculation
typo somewhere?
To calculate average velocity, you need both the displacement and the time. In this case, the runner does 1.5 laps around a 400m track in 77s.
Step 1: Calculate the total distance covered by the runner.
Since the runner does 1.5 laps, the total distance covered is 1.5 times the length of one lap.
Distance covered = 1.5 laps * 400m/1 lap
Distance covered = 600m
Step 2: Calculate the average velocity.
Average velocity = Distance covered / Time taken
Average velocity = 600m / 77s
Average velocity ≈ 7.7922 m/s
So, based on the given information, the average velocity of the runner is approximately 7.79 m/s.
If your professor's answer is 2.6 m/s, either there may be an error in the calculation or some additional information was provided which led to a different answer. It's best to double-check the problem or consult your professor for clarification.
To find the average velocity of the runner, we need to calculate the displacement and divide it by the time taken.
In this case, the displacement is the distance covered by the runner, which is 1.5 laps around a 400-meter track. To convert laps to meters, we multiply by the track's length:
1.5 laps * 400 meters = 600 meters
The time taken by the runner is given as 77 seconds.
Now we can use the formula:
Average velocity = Displacement / Time
Average velocity = 600 meters / 77 seconds = 7.79 m/s
However, you mentioned that your professor's answer is 2.6 m/s, which differs from the calculated value. It's essential to verify whether there are any additional instructions or information provided in the question that may affect the calculation. Check for any given conditions such as speed changes or direction reversals during the run that could impact the average velocity measurement.
If there are no specified conditions or additional factors, it's possible that either your professor made an error, or there might be a misunderstanding or mistake in the problem statement. In such cases, it's always best to clarify with your professor to ensure you have the correct information.
Please let me know if you have any further questions or if there's anything else I can help you with!