You walk 1160 m east and then 1000 m south in a total time of 20 min.
compute your displacement. Enter the east and south components of the displacement separated by a comma.
then
Compute your average velocity in m/s.
Enter the east and south components of the velocity separated by a comma.
(1160 , 1000)
east velocity = 1160/(20*60) = .967 m/s
south velocity = 1000/(20*60) = .833 m/s
total average speed = sqrt (.967^2 +.833^2)
= 1.28 m/s
( .967 , .833 )
7.98mev
To compute the displacement, we need to find the total east and south components of the movement.
First, let's calculate the displacement in the east direction. You walked 1160 m east, so the east component of the displacement is 1160 m.
Next, let's calculate the displacement in the south direction. You walked 1000 m south, so the south component of the displacement is -1000 m (negative because it is in the opposite direction of the positive south).
Therefore, the displacement is (1160 m, -1000 m).
To compute the average velocity, we need to divide the displacement by the total time.
Converting the total time of 20 minutes to seconds, we get 20 min * 60 sec/min = 1200 seconds.
Now, divide the east component of the displacement by the total time: 1160 m / 1200 s = 0.97 m/s (rounded to two decimal places).
Similarly, divide the south component of the displacement by the total time: -1000 m / 1200 s = -0.83 m/s (rounded to two decimal places).
Therefore, the average velocity is approximately (0.97 m/s, -0.83 m/s).