Adelivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. use a graphical method to find his net displacement vector.

assuming north-south along the Y-axis and east-west along the X-axis

X = total X-displacement

from the graph , total displacement along X-direction is given as

X = 0 - 20 + 60 Cos45 + 0

X = 42.42 - 20

X = 22.42 m

Y = total Y- displacement

from the graph , total displacement along Y-direction is given as

Y = 40 + 0  + 60 Sin45 + 50

Y = 90 + 42.42

Y = 132.42 m

magnitude of the net displacement vector using Pythagorean theorem is given as

magnitude : Sqrt(X² + Y²) = Sqrt(22.42² + 132.42²) = 134.31 m

Direction : tan⁻¹(Y/X) = tan⁻¹(132.42/22.42) = 80.4 deg north of east

a.   mass number from atomic number

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles