As you walk to the grocery store you walk 800m North,600m east and 200m south at a speed of 1m/s. What is your average velocity
In order to find the average velocity, we need to calculate the total displacement and divide it by the total time taken.
Given that you walked 800m north, 600m east, and 200m south, we can combine the north and south displacements to get a net displacement of 800m - 200m = 600m north.
To calculate the total time taken, we need to determine the time taken for each individual displacement.
For 800m north:
Distance = 800m
Speed = 1m/s
Time = Distance/Speed = 800m/1m/s = 800s
For 600m east:
Distance = 600m
Speed = 1m/s
Time = Distance/Speed = 600m/1m/s = 600s
For 200m south:
Distance = 200m
Speed = 1m/s
Time = Distance/Speed = 200m/1m/s = 200s
Total time taken = 800s + 600s + 200s = 1600s
Now, we can calculate the average velocity:
Average velocity = Total displacement / Total time taken
= 600m north / 1600s
= 0.375 m/s north.
Therefore, your average velocity is 0.375 m/s north.
To calculate average velocity, we need to find the total displacement and divide it by the total time taken.
First, let's find the total displacement. Since displacement is a vector quantity, it has both magnitude and direction. We will treat the North direction as positive and the South direction as negative.
So, the total displacement in the North direction is 800m, the total displacement in the East direction is 600m, and the total displacement in the South direction is -200m.
Therefore, the total displacement = 800m + 600m + (-200m) = 1200m.
Now, let's calculate the total time taken. Since we are given the speed as 1m/s, we need to find the total time it takes to cover the distances in each direction separately.
The time taken to walk 800m North = 800m / 1m/s = 800s
The time taken to walk 600m East = 600m / 1m/s = 600s
The time taken to walk 200m South = 200m / 1m/s = 200s
Now, to find the total time taken, we add these individual times together:
Total time taken = 800s + 600s + 200s = 1600s.
Finally, we can calculate the average velocity by dividing the total displacement by the total time taken:
Average Velocity = Total Displacement / Total Time Taken
= 1200m / 1600s
= 0.75 m/s (rounded to two decimal places)
Therefore, your average velocity is 0.75 m/s.
To calculate average velocity, we need to divide the total displacement by the total time taken. Displacement is the straight line distance between your initial and final positions.
Let's break down each leg of your journey:
1. Walking 800m North: This leg has a displacement of 800m in the North direction.
2. Walking 600m East: This leg has a displacement of 600m in the East direction.
3. Walking 200m South: This leg has a displacement of 200m in the South direction.
To find the total displacement, we can add the displacements of each leg. From the given information, we see that the north-south displacements cancel each other out (800m - 200m = 600m), and the eastward displacement remains 600m.
So, the total displacement is 600m East.
Now, let's find the total time taken for the entire journey. Since we know the speed is 1m/s for the entire trip, we can find the time taken by summing up the distances traveled:
800m + 600m + 200m = 1600m.
Since you walk at a speed of 1m/s, this is equivalent to 1600 seconds.
Now we can calculate the average velocity:
Average Velocity = Total Displacement / Total Time
= 600m East / 1600s
= 0.375 m/s East.
So, your average velocity during the trip is 0.375 m/s East.