Question

A child and her mother are at the park.The child walks around the rectangular park while her mom waits on a bench. The child returns to the bench ,finishing her walk at the same place she started.The park is 411 meters wide and 475 meters long. What was the displacement of the child?

A. 0 m
B. 886 m
C. 1,772 m
D. 64 m

Answer 1

The displacement of the child : A. 0 m

Further explanation

Distance is a scalar quantity that indicates the length of the trajectory that is traveled by an object within a certain interval. Distance has no direction, only has a magnitude

Can be simplified distance = total meters traveled

Displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction

Can be simplified displacement = distanced traveled from starting point to ending point

So the displacement of the child : 0 m

and the distance = the circumference of the rectangle :

`\tt =2(l+W)\\\\=2(475+411)\\\\=1772~m`