Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

You and a friend start out at the same time on a 10 -km run. Your friend runs at a steady 2.5 $\mathrm{m} / \mathrm{s} .$ How fast do you have to run if you want to finish the run 15 minutes before your friend?

3.22 $\mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 2

Motion along a Straight Line

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Rutgers, The State University of New Jersey

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:45

A runner is planning for a…

00:50

A runner wants to run 10.0…

02:16

In a $5.00 \mathrm{km}$ ra…

02:28

06:48

In an $8.00 \mathrm{km}$ r…

02:35

In an $8,00 \mathrm{km}$ r…

So you and your friend are running a 10 K. So 10 kilometers, this is equaling 10,000 meters and the constant velocity of your friend equals 2.5 meters per second. So the time it takes for your friend to finish the entire race is Delta X, divided by the velocity of your friend. And this will be equal to two rather 10,000 divided by 2.5 and this is equaling 4,000 seconds. So it's going to take your tent there, friend. 4,000 seconds. To complete the 10 k, you want to beat her by 15 by 15 minutes. So 15 minutes times 60 seconds per minute. This equals 900 seconds. So you need to complete the 10 K and 31 100 seconds. So the velocity needed would essentially be equal to the entire length of the Rather. We can say Delta X over tea. So again, the entire length of the 10 K 10,000 meters divided by 4,000 meters. The time it took your, um friend to run it minus 900 meet 994,000 seconds. The time it took your friend to run it minus 900 seconds the amount of time you want to beat her by and this would be equal to 3.23 meters per second. So you would have to run 0.73 meters per second faster than your friend for the entire duration of the tank A in order to beat her by 15 minutes. So this would be our final final answer. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

03:47

Egg drop. You are on the roof of the physics building of your school, 46.0 $…

05:33

$\bullet$ $\bullet$ Avoiding mass extinctions. It has been suggested that

05:08

A person leaning over a 125 -m-deep well accidentally drops a siren emitting…

01:13

$$ \begin{array}{l}{\text { (II) Multiply } 2079 \times 10^{2} \mathrm{m} \t…

02:24

$\bullet$$\bullet$ Two small spheres spaced 20.0 $\mathrm{cm}$ apart have eq…

05:02

A cube 5.0 $\mathrm{cm}$ on each side is made of a metal alloy. After you dr…

02:48

A 10.0$\mu$ F parallel-plate capacitor is connected to a 12.0 $\mathrm{V}$ b…

01:06

$\cdot$ In one cycle, a freezer uses 785 $\mathrm{J}$ of electrical energy i…

04:42

$\bullet$$\bullet$ The bends. If deep-sea divers rise to the surface too qui…

03:39

$\bullet$$\bullet$ A fractured tibia. While afractured tibia (the larger…