An airplane is trying to land on the runway using the path below. (The vectors are drawn in the diagram) terminal building
200 m
150 m
200 m
250 m
Tunway
What is the total distance traveled by the airplane? Please include the number and unit.
What is the magnitude of the airplane's displacement? Please include the number and unit.
What was the direction of the airplane's displacement? Please abbreviate (N, S, E, W. or some combination)

Explanation:

The given figure shows the path of an airplane that is trying to land on the runway using the path below.

(a) Distance is the total path covered.

D = (200+150+200+250) m

D = 800 m

(b) Initially, it was moving 200 m due east and finally it reaches 250 m due south. But displacement is the shortest path covered. O is the initial position and B is the final position.

Displacement = OA+AB

=(150 +250) m = 400 m

(c) The Airplane's displacement is in the south direction.

95 %

99.7 %

Explanation:

= 166 cm = Mean

= 5 cm =  Standard deviation

a) 156 cm and 176 cm

From the empirical rule 95% of all values are within 2 standard deviation of the mean, so about 95% of men are between 156 cm and 176 cm.

b) 151 cm and 181 cm

The empirical rule tells us that about 99.7% of all values are within 3 standard deviations of the mean, so about 99.7% of men are between 151 cm and 181 cm.