what-is-the-distance-traveled-by-the-explorer-a-1672-mathrmm-b-169-mathrmm-c-170-mathrmm-d-1982-math

Question

What is the distance traveled by the explorer?
(A) 167.2 $\mathrm{m}$
(B) 169 $\mathrm{m}$
(C) 170 $\mathrm{m}$
(D) 198.2 $\mathrm{m}$

Salamat Ali · Accepted Answer

total distance by explorers starting from this point, Let&#x27;s call it a will be some off this distance and he goes up here. So up here. So the total distance is this past this Plus in all this. So eating all those lens we get, um, we get the value off 1 98.2 major. So this is a party answer. It&#x27;s party. We get the total distance off for 1 90 eight point to end off the problem. Thank you.

Salamat Ali · Answer

the displacement. Often Explorer can be found by from a diagram. Um, so initially. So we&#x27;re, um So the displacement will be from here to here. So this is our displacement. To find this, we we don&#x27;t know this part. So will find this part. And we don&#x27;t know this part&#x27;s toe minus. So you find this. We call it a telex. He&#x27;s a work. This place is dispensed with the ex direction, which is a 30. So from here to here, we have a 30. This will be 30 30 plus 20 times square. Root off too. Calls 45 course, 45 degrees. This is called the O. So in a presentable is 50. Where&#x27;s Dewie can be found by, um 20 square root off two signed. 45 signed 45 plus 1 40 So this gives us, um 1 20 Then our displacement. The less we call this is a delicious will be equal to screwed off. They&#x27;ll x square plus delta y square and substituting the values for Del X and a Y. This gives us ah, displacement off 1 30 Media. So are what is right. End off the problem. Thank you for watching

Salamat Ali · Answer

original lost e. So a ritual lost to be here. Izzy called thio Displacement Displacement to do wait it by dime. So displacement here divided time all the time. The displacement we found earlier is 1 30 So 1 30 in the total time is 260 seconds. So, are you ready this week? It zero point father meter per second. So the answer is a

Ze-Han Lee · Answer

so we won&#x27;t find out the total displacement for this ah movement so that it will be simply the area enclosed by the curve. Okay, so we can just to divide them into different shapes. Like what I did is that from a to B the areas three times seven over too. And from me to see the areas seven times two and the sea duty is ah, seven plus three plus seven times well or two. And the D to e is ah, three times three over two and e to f biggest from eat after the velocities. Negative ray. So she used mine is here minus two times two or two. So this gives you a 32 meters Vitamin E. Yeah.

Zulfiqar Ali · Answer

Well, according to art observer, uh, according to according to our jobs, ever Arctic, that&#x27;s a word. Uh, the explorer travels a distance of 4.3 light years, so X explorer travel the distance off for buying pre lighters. Um, with speed, we is a gold, too. Two point minds. It&#x27;ll multiply by, tend to the bomber eight meter or second, and from the definition of the velocity we confined, how long would it take the Space Explorer to reach his destination? From the perspective of a station observer owner. And we know the time equals, uh, distance divided by speed. Well, the distances in the unit off light here the distance are the light travels in one year. So, actually, one light here is the distance that, like travels and growing here. Thus, this distance can be converted into meter as follows. Uh, so we have, uh, how many like, uh, this four wind, three light years raid. So let&#x27;s see it. One year right is the time. Multiply by a 3.0, multiply by 10 to the power it meter or second. And this is the speed of light. And hence this is the distance traveled by lighting one year. And so time D is equal to one year. Multiply by three. Bind cedar, multiply by 10 to the Power eight. Meet in a bar Second, divided by divided by 2.9. Multiply by 10 to the Power eight leader or second and this use this four point. Ah Fuller Fuller Eat to it years. That&#x27;s the six Explorer would finish this journey in four point four Blind for five years. Five years from the perspective Off an arc observer. No, let&#x27;s to part B. Well, we&#x27;re going to do part B well for a person inside the spaceship. So for a person inside a spaceship space you the person would expedience. The time goes by much slower from his perspective. The time he measures is the proper time on its the proper time lifts a proper time is d not? And the time, from the perspective, open heart observer is the rely domestic time. So it&#x27;s the relativistic time lapse in relativistic time. Misty right? And we know that the proper diamond relied a mystic time are related by rt is equal to gonna times Um do you not? And gamma is the Lawrence factor or it is also called the Relativistic Factor, which is given by God Musical to one divided by square root off one minus We squared, divided by C square And now looking the values, uh, one divided by, ah, square root of one minus. Well, we these are two point mine. Multiply by 10 to the power it divided by tree Barnes. It&#x27;ll multiply by 10 to the power 80 is the speed of light square. And hence this gives us three point mind zero 567 sword their lead Mystic factories 3.90567 No, de not is equal to de divided by gamma and hands. Um, we have t which is already calculated 4.4 four 8 to 8, divided by a 3.90567 And therefore D not is equal to one point one three. I ate mine for a year. Right? Hence the dime, native boss, from the perspective of this space traveler is ah, like oh ah, this is the net result. Sortie not is one point 1389 um, three years

Eric Tung · Answer

Hey, what&#x27;s up, guys? Eric? And today we&#x27;re gonna be converting a measurement in nautical miles into statue it, miles. So in the question, we&#x27;re given that we need to convert 257 nautical miles between points and be and convert that distance into statute Miles over here, I have written out the conversion factor between nautical miles and statute Miles. So here we see that 125 nautical miles equivalent to 144 statute miles and clear out statute miles as your regular miles. If you live in America Ah, the measurement that you typically hear nowadays Ah, on the streets in terms of miles per hour distances. So, in doing so, all we need to do to convert this 257 nautical miles into ah cetera. Miles is basically to multiply nautical miles by a the number one. And it&#x27;s very special one, because this one is gonna be our unit conversion factor between nautical miles and a statue of miles. Now we know that it&#x27;s given here that 125 miles is equal to 104 statute miles. So if we were to divide one by the other. Since these are equivalent something divided something that&#x27;s equal to itself, he&#x27;s gonna be one. So by multiplying the 1 257 nautical miles, we&#x27;ve not only maintain the integrity of the mathematical integrity behind $257 Tomas, but with awesome maintained the meaning. And the, uh, sorry. We maintain the meaning of ah, what this whole number represents through this conversion factor off. Essentially the number one. All right, so we&#x27;re gonna play a fraction of here, dividing out nautical miles here. I&#x27;ve abbreviated to end 257 nautical miles, divided by 125 nautical miles. Gives us a unit less quantity and then multiplying the whole thing again. By statute, miles are regular miles measurement. We can see our final answer is gonna be a an equivalent to length in statute, Miles. So here we&#x27;re gonna approximate that to about 296 statute miles. And that&#x27;s it for this question. Ah, thanks for watching

Problem

F. NO CHANGE G. tells us, that, H. tells us that,…

Problem 1 Medium Difficulty

What is the distance traveled by the explorer?
(A) 167.2 $\mathrm{m}$
(B) 169 $\mathrm{m}$
(C) 170 $\mathrm{m}$
(D) 198.2 $\mathrm{m}$

Answer

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