Help with physical sci problems

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The discussion centers on solving two physical science homework problems. The first problem involves two ants racing across a 67 cm table, where the first ant finishes 18.46 cm ahead of the second. The second problem requires calculating John's resultant displacement after traveling and retracing his path along a highway, resulting in a displacement of -84 km from the 252 km marker. There is confusion regarding the difference between displacement and total distance traveled, with the total distance being 122 km. Clarifications on the calculations and the importance of distinguishing between displacement and distance are emphasized.
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Help with physical sci problems!

Hey i was just wondering if any of you knew how to do these problems... i have homework due and i don't understand these

thanks so much!

1. 2 ants race across a table 67 cm long. One travels at 4.14 cm/s and the other at 3 cm/s. When the first one crosses the finish line, how far behind is the second one? Answer in units of cm.


2.While John is traveling along a straight interstate highway, he notices that the mile marker reads 252 km. John travels until he reaches the 149 km marker and then retraces his path to the 168 km marker.
What is Johns resultant displacement from the 252 km marker? answer in units of km
 
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For number 1 i get 18 cm not sure about 2nd one but i rounded down on the answerd but if you did it without rounding it is 18.449275362318 or so my calculator says. to find this you need to find how long it takes both of them to cross than figure out the difference and from there you can figure out how far behind the 2nd one is
 
thank you so much!
 
so it was 18.4 cm right
 
Ant 1 crosses at t = d/v = 67/4.14 = 16.18s

Ant 2 will be at d = vt = (3)(16.18) = 48.54cm from the start line

67cm (finish line) - 48.54 = 18.46cm behind
 
For 2

John is at 252km, he keeps going to reach 168km, so so far he has travelled:

252km - 149km = 103km in the forward direction

He then turns around and goes back to 168, travelling

168 - 149 = 19km in the backward direction

So from the 252 marker, he went 103km forwards and 19km backwards.

+103 - 19km = 84km from the 252km marker

Ans = 84km
 
I was close just my ti-92 has to be to scientific with math
 
i typed 84 into the computer because i turn in my homework online, and it said that 84 was incorrect?

I was sure that 84 was the answer??
 
Try -84? He's 84km from the 252km marker, but he traveled a total of 122km.
 
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oh ok, yea the next question asked for the distance which is 122.

ill try -84
 

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