The addition of vectors and the uniform motion allows to find the answers for the questions about distance and time are:
- The distance to go between airports A and C is 373.6 10³ m
- The time to go from airport A to B is 2117 s
Vectors are quantities that have modulus and direction, so their addition must be done using vector algebra.
In this case the plane flies towards the North a distance of y = 360 10³ m at an average speed of v = 170 m / s, when arriving at airport B it turns towards the East and travels from x = 100 10³ m, until' it the distance reaches the airport C
Let's use the Pythagoras' theorem to find the distance traveled
R = [tex]\sqrt{x^2 +y^2}[/tex]
R = 373.6 10³ m
They indicate the average speed for which we can use the uniform motion ratio
v = [tex]\frac{\Delta y }{t}[/tex]
t = [tex]\frac{\Delta y}{v}[/tex]
They ask for the time in in from airport A to B, we calculate
t = 360 10³/170
t = 2.117 10³ s
In conclusion we use the addition of vectors the uniform motion we can find the answer for the question of distance and time are:
- The distance to go between airports A and C B is 373.6 10³ m
- The time to go from airport A to B is 2117 s
Learn more here: brainly.com/question/15074838
