Question

2. A little turtle is placed at the origin of an xy-grid drawn on a large sheet of paper. Each grid box is 1.0 cm by 1.0 cm. the turtle walks around for a while and finally ends up at point (24, 10), that is, 24 boxes along the x-axis, and 10 boxes along the y-axis. Determine the displacement of the turtle from the origin at the
point.

Answer 1

The displacement is denoted by $\mathbf{d}$ on the figure above. According to the Pythagorean theorem, it's magnitude will be:

$$d = \sqrt{24^2 + 10^2} = 26\space cm$$

Answer. 26 cm.