At a soccer practice, the players run sprints. they start at the goal, run 10 m toward the center of the field and then run back to the goal. then they run 20 m toward the center of the field and back to the goal. finally they run 30 m toward the center of the field, turn around, and run back to the goal again. one player times herself to try and beat her personal best time. she runs the first 10 m in 2.5 s and gets back to the goal in 2.8 s. then she runs the 20-m sprint in 5.7 s and gets back to the goal in 6.7 s. she runs the final 30-m sprint in 12 s and gets back to the goal in 15 s. what was her average velocity for the entire exercise?

2.68 m/s

Explanation:

The total distances she runs in this exercise is:

First 10m sprint and back = 10 * 2 = 20m

2nd 20m sprint and back = 20 * 2 = 40m

The last 30m sprint and back = 30 * 2 = 60m

So the total distance = 20 + 40 + 60 = 120m

The total time she takes to run all these tracks:

2.5 + 2.8 + 5.7 + 6.7 + 12 + 15 = 44.7s

So here average speed for the entire exercise is

120 / 44.7 = 2.68 m/s

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.