Im supposed to find the velocity of 2 lines for a practice problem, one issue, is that they both cannot be the same, distance/time is also the same as getting the gradients, which i solved as 2.5, but that both cant be 2.5 when one is clearly at a higher include, context of the question:
"Have a look at the graph below which gives the position of a robot against time. From 5 to 10 seconds the position is changing more per second than from 0 to 5 seconds, so we expect the velocity is higher. We can find the velocity of the robot in each of these time intervals using equation 1 or by finding the gradient (slope) of the graph. "
#Help with the maths side of a physics problem
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Did you do the slope of it? As in the position / time here?
the numerator for both v1 and v2 is correct. but you should recheck the denominator as in the value of time during the two intervals
Okay so
When you're taking the velocity for the second one
You're only finding the slope for the second line, so best option here, is subtract the x and y values where line 1 ends
Otherwise you're also taking distance/time for both lines
I assume it ends at around (5,12)
So try taking (15-12)/(6-5)
Funniest bit is, this is the exact formula for the slope
Your logic was spot on, and your distance calculations were perfect. The only error was plugging in 4 and 6 for the time intervals instead of 5. The velocities are 2 m/s for the first half and 3 m/s for the second half, which perfectly matches your visual observation that the second line is steeper.
I think the value for line one is 2.5, not 2
walk me through how did you get the denom as 4 for line 1
Oh lol I didn't realise it didn't start at origin
now what do you get as the value of V1 ?
Around 2
That is, if you assume the values are whole numbers exactly
Which is why I said 'around' everytime
yes, i assumed them to be exactly the midpoint
okay fair
and what do you get for V2
Around 3?
.
.
yes
that is correct
Sorry ill have a look at all things said tommorow
i been really busy with other question stuff
no problem! just ping me when you get back
tommorow definitely
Ok
so
Looking at everything
and checking with some other people
this seems to be correct
+close
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