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

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.