If you run east for 38m, stop suddenly, run another 27m east, then you run west for 47 m, what is your total displacement?
how to #m, direction

Total Displacement = -18m

Explanation:

Given

East Movement = 38m and 27m

West Movement = 47m

Required

Determine the total displacement

To answer this, we consider east as negative direction and the west as positive (using logics of number line).

Total Displacement = East Movement + West Movement

Total Displacement = -38m - 27m + 47m

Total Displacement = -18m

Hence, the total displacement is 18m towards East

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide