Question

1. a school bus leaves school and heads east for 2 miles before making its first stop. it then turns left and heads north 3 miles before making another stop. find the distance and displacement of the school bus after completing its first two stops. sketch the

Explanation:

Step1: Calculate the distance

The school bus travels 2 miles east and then 3 miles north. The distance is the sum of the lengths of the two paths.
Distance \(d = 2+3=5\) miles.

Step2: Calculate the displacement

The displacement is the straight - line distance from the starting point (school) to the final point. Using the Pythagorean theorem \(s=\sqrt{2^{2}+3^{2}}\).

$$
LATEXBLOCK0
$$

Answer:

Distance: \(5\) miles, Displacement: \(\sqrt{13}\approx3.61\) miles.