A football player runs due South for 80 yards then cuts up the field due East for a distance of 45 yards before running into the end zone. What is the total displacement of the player?

Explanation:

Let the direction of the south be -y

Let the direction of the east be +x

The displacement is gotten by using the pythagoras theorem as shown;

Let d be the displacement;

d² = x² + y²

Given

x = 45 yards

y = -80 yards

Substitute the given values into the expression;

d² = x² + y²

d² = 45² + (-80)²

d² = 2025 + 6400

d² = 8425

d = √8425

d = 91.79 yards

Hence the total displacement of the player is 91.79 yards

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.