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A bicyclist in the Tour de France crests a mountain pass ashe moves at 15 $\mathrm{km} / \mathrm{h}$ . At the bottom, 4.0 $\mathrm{km}$ farther, hisspeed is 75 $\mathrm{km} / \mathrm{h}$ . What was his average acceleration(in $\mathrm{m} / \mathrm{s}^{2} )$ while riding down the mountain?

The Uniform Acceleration is $5.2 \times 10^{-2} m / s^{2}$

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

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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.

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A bicyclist in the Tour de…

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A cyclist goes downhill fo…

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A bike rider pedals with c…

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You ride your bike for $1.…

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A cyclist rides $8.0 \math…

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A cyclist travels $10.0 \m…

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A bicyclist increases her …

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(a) What is the magnitude …

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A bicyclist accelerates at…

So here. Let's first convert the, um, the velocities we have Ah, initial velocity of 15 kilometers per hour. We can, uh, use a conversion one meter per second for every 3.6 kilometers per hour. And this is equaling 4.17 meters per second for philosophy final. This is 75 kilometers per hour again multiplied by one meter per second, divided by 3.6 kilometers per hour. And this is giving us 20.83 meters per second. At this point, we know that the Delta X would be four kilometers or we can simply say 4000 meters. Okay, Excuse me. So we can save the final squared equals V initial squared, plus two times acceleration times out to X. And essentially, we're just gonna be solving for the acceleration. So the acceleration would be the final squared minus the initial squared, divided by two times Delta X b consult 20.83 meters per second squared minus 4.17 meters per second. Quantity squared, all divided by two times 4000 meters. And we find that the acceleration here is gonna be equal. Two fought. We could say a point zero 52 meters per second squared. This would be our final answer. That is the end of the solution. Thank you for watching.

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