Physics vectors and resultants.?

Question

Amit flies due east from san fran to DC a displacemenet of 5600km he then flies from DC ro boston a displacement of 900km at an angle of 55 degress east of north. What is the total displacement?

Answer 1

Favorite Answer

it is simply an addition of vectors

from san fran to dc, let it vector A

from dc to boston, let vector B

the total displacement, let vector C

A=5600i

B=(900*sin 55)i +(900*cos 55)j

i and j are unit vectors

C = A+B

C=5600i +737.24i + 516.22j

C= 6337.24i +516.22j

to solve for the magnitude of vector C

/C/ = sqrt(6337.24^2 +516.22^2)

=sqrt(40160611+266483)

= 6358.23 km