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(II) An Airplane travels at 950 $\mathrm{km} / \mathrm{h}$ . How long does it take to travel 1.00 $\mathrm{km} ?$

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Physics 101 Mechanics

Chapter 1

Introduction, Measurement, Estimating

Physics Basics

Cornell University

Hope College

University of Sheffield

Lectures

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.

09:56

In mathematics, algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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Okay, So our question states that we have an airplane that is traveling at a velocity which I did notice the of 950 kilometres per hour. The question then is how long will it take that airplane to travel at a distance of one kilometer? So I do know distance here is D in the time which we want to solve for his tea. So to set up our equation, the first thing we noticed was that velocity has units of kilometers per hour or distance divided by time. So therefore, our equation is going to be velocity is going to be equal to the distance d divided by the time. Well, we know the distance and we know the velocity and we want to solve for the time. So let's go ahead and rearrange our equation to stall for time. So time then is going to be equal to the distance divided by the velocity. Our distance here is one kilometer. No velocity is 950 kilometers per hour. So if you take one divided by 950 you get 1.5 times 10 to the minus three and that's going to be in units of ours. Well, that's not very 19. It's so let's go ahead and convert that into units A second's well, to convert that into units of seconds, we need to multiply it by 60 minutes, which is in one hour and then 60 seconds, which is in one minute we'll 60 minutes in one hour multiplied by 60 seconds in one minute lead to 36 100 seconds in one hour. So therefore we need to multiply 1.5 times 10 to the minus three hours by the conversion of hours into seconds. In that conversion, it is 36 100 seconds per hour. So it's going to be multiplied by 36 100 seconds per hour for every one hour. Okay, and that will give us our answer. And that gives us three 0.8 seconds. So it'll take airplane 3.8 seconds to travel a distance of one kilometer

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