Question

Kevin bikes to the pizza place for lunch. He rides 1 km east, 3 km north, 4 km west, and finally 3 km south. What was his displacement?

Answer 1

3km

Step-by-step explanation:

To get the displacement, we will make use of the expression;

`D = √((\sum d_x)^2+(\sum d_y)^2)`

Taking the sum of the distances along the x;

dx = 1km - 4km

dx = -3km

Taking the sum of the distances along the y axis

dy = 3km - 3km

dy = 0km

Substitute into the formula above;

`R = √((-3)^2+(0)^2)\\R = √(9) \\R = 3km\\`

Hence his displacement is 3km