Why Can't I Understand the Equation for Calculating Distance in Physics?

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A newcomer to physics is struggling to understand the equation for calculating distance traveled, specifically from a YouTube lecture. Despite knowing the answer is 313.6 meters, they are confused about the formula and their own calculations. Another participant clarifies the correct approach, explaining that squaring the time and applying the gravitational constant leads to the correct distance. They also provide a similar example to reinforce understanding. The original poster expresses gratitude and confirms they now comprehend the concept.
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***new guy to physics having trouble***

Hey guys :) I'm just a guy who got into physics two days ago, been reading into it, watching videos and some history and I'm having a problem, a youtuber 'thenewboston' has a physics series and I am currently on his 4th video which he has called:

Physics Lecture - 4 - Calculating Distance Traveled

Link:



If you skip to 6:03 The equation is the problem I am having, I can not comprehend it no matter how many times I watch the video.

I already know the answer to the question is 313.6 Meters Although I do not know how to calculate it according to the formula and the only reason I know how to get the answer is because people have said in the video's comment section that the answer is 313.6 Meters.

This is what I did to get the answer

4.9 X 4 = 19.6 Meters

.5 (1/2) X 9.8 X 4 = 19.6 Meters

_____________________________

1) 4.9 X 4 = 19.6

2) 19.6 x 4 = 78.4

3) 78.4 x 4 = 313.6

313.6
________________________

Ans = 313.6 Meters

I hope you can help and thanks in advance guys!
 
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This is what I did to get the answer

4.9 X 4 = 19.6 Meters

.5 (1/2) X 9.8 X 4 = 19.6 Meters

Why are you multiplying everything by four? You put an 8 where the t is in the equation and go from there. That gives you 8 squared=64 times 9.8 = roughly 640. Then you take half of that gives you roughly 320, which is the 313.6.
 


The reason I was multiplying everything by four is to prove, as I said above that I do not know the formula but that is how I got the answer 313.6 ... and so on with that.

"That gives you 8 squared=64 times 9.8 = roughly 640. Then you take half of that gives you roughly 320, which is the 313.6."

Thanks, I understand how to get it now but how does the 320 = 313.6 would you mind explaining that?

and if it isn't too much of a bother would you mind giving me a similar example and using your theory I will see what answer I get and hopefully it is correct
 


64 times 9.8 = 627.2, divide that by 2 and you get 313.6. I just rounded the gravity to 10 instead of 9.8, that's where I got the 320.

Well, it is kind of a bother, but what the hell! O.k. say you drop the tuna can for 14 seconds, how far would it fall?
 


14 Squared = 196 x 9.8 = 1920.8 / 2 = 960.4

Ans = 960.4

Hopefully that is correct :)
 


By Jov, I think yo've got it!
 


Just remember who got you started when you win the Nobel..
 


Yes! I got it! Thankyou!
 
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