A bicycle traveled 150 meters west from point A to point B. Then it took the same route and came back to point A. It took a total of 2 minutes for the bicycle to return to point A. What is the average speed and average velocity of the bicycle?
Average speed =distance/time= (150+150)/120 =2.5 m/s
Average velocity= displacement/time= 0
To find the average speed of the bicycle, we can use the formula:
Average Speed = Total Distance / Total Time
Since the bicycle traveled 150 meters from point A to point B, and then returned to point A, the total distance covered is:
Total Distance = 2 * 150 meters = 300 meters
The total time taken by the bicycle to cover this distance is given as 2 minutes.
Total Time = 2 minutes
To find the average speed, we substitute the values into the formula:
Average Speed = 300 meters / 2 minutes = 150 meters/minute
Therefore, the average speed of the bicycle is 150 meters per minute.
Now, let's find the average velocity. Velocity refers to the displacement per unit time. Displacement is the change in position from the starting point to the ending point.
Since the bicycle traveled 150 meters west from point A to point B, and then returned back to point A, the displacement is zero.
Therefore, the average velocity of the bicycle is zero.
To find the average speed of the bicycle, we need to calculate the total distance traveled over the total time taken. In this case, the total distance traveled is the sum of the distance from A to B and the distance from B back to A, which is 150 meters + 150 meters = 300 meters.
The total time taken is given as 2 minutes.
To calculate the average speed, we divide the total distance traveled by the total time taken:
Average Speed = Total Distance / Total Time
= 300 meters / 2 minutes
= 150 meters per minute
Therefore, the average speed of the bicycle is 150 meters per minute.
Now, let's calculate the average velocity of the bicycle. Velocity includes both the speed and the direction. Since the bicycle traveled from point A to point B, which is in the west direction, and then returned to point A, its average velocity will depend on the displacement, which is the change in position.
In this case, the displacement is the difference between the initial and final positions, which is 0 since the bicycle returns to point A. As a result, the average velocity of the bicycle is 0 meters per minute since it stayed in the same position over the total time.
Therefore, the average velocity of the bicycle is 0 meters per minute.