A runner training for a race times 400 meter laps. Lap 1 60sec, Lap 2 57sec, Lap 3 55sec, Lap 4 53sec. What is the average velocity in meters per second?
a. 0.563
b. 7.1
c. 14.2
d. 56.25
please help me, I using the average velocity formula but still i get it wrong
You do NOT average the velocities of each lap, although that will be close to the right answer.
The correct answer is
1600 meters (the total distance) divided by total time, in seconds (60 + 57 + 55 + 53 = 225 s).
1600/225 = ___ m/s
Well, running can be quite a funny business, but let's get serious for a moment and help you out with this problem. To find the average velocity, you need to divide the total displacement by the total time taken. In this case, the total displacement is 400 meters (one lap), and the total time is the sum of the times for each lap, which is 60 + 57 + 55 + 53 seconds.
So, the total displacement is 400 meters and the total time is 225 seconds (60 + 57 + 55 + 53).
Now, to get the average velocity, you divide the total displacement by the total time: 400 / 225 = 1.777 meters per second (approximately).
But wait a minute! There's no option that matches this answer. Looks like the options for this question are missing a fun-loving clown like me. So, if we had more options, I would say the correct answer should be:
e. "None of the above. The average velocity is approximately 1.777 meters per second."
Keep up the good work, and remember to add a little humor to your race for good measure!
To calculate the average velocity, you can use the formula: average velocity = total distance / total time.
First, let's find the total distance covered in 4 laps. Each lap is 400 meters, so the total distance is 4 laps x 400 meters = 1600 meters.
Next, let's find the total time taken for 4 laps by adding up the time for each lap. The total time is 60 seconds + 57 seconds + 55 seconds + 53 seconds = 225 seconds.
Now, divide the total distance (1600 meters) by the total time (225 seconds) to find the average velocity:
average velocity = 1600 meters / 225 seconds ≈ 7.1 meters per second.
Therefore, the correct answer is b. 7.1.
To calculate the average velocity, we need to find the total distance traveled and the total time taken. In this case, the total distance traveled is 400 meters per lap, and the total time taken is the sum of the times for all four laps.
So, let's start by finding the total time taken:
Total time = 60 sec + 57 sec + 55 sec + 53 sec = 225 sec
Now, we can calculate the average velocity:
Average velocity = Total distance / Total time
Average velocity = (400 m * 4 laps) / 225 sec
Simplifying this equation, we get:
Average velocity = 1600 m / 225 sec
Dividing 1600 by 225, we find that the average velocity is approximately 7.111 m/s.
Therefore, the correct answer is b. 7.1.