Instantaneous velocity expression

AI Thread Summary
The discussion focuses on finding the instantaneous velocity from a given position-time equation, x=342t^4-127t^3+1.87t^2+2.45. The correct method involves taking the derivative of the position equation to obtain the velocity expression, which is v=x'=1368t^3-381t^2+3.74t+2.45. At t=0, the instantaneous velocity simplifies to 2.45. Additionally, the conversation touches on calculating instantaneous acceleration using the second derivative, resulting in 4104t^2-762t+3.74. The participants clarify variable usage and express their learning process throughout the discussion.
UrbanXrisis
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This is an equation of a position v time graph:

x=342t^4-127t^3+1.87t^2+2.45t

I need to use this expression to find the instantaneous velocity at t=0.000s
 
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And how is inst. velocity related to position?
 
take the derivative of the first equation
then just plug in t
and volla you got instantious velocity
 
Last edited:
x`=1368t^3-381t^2+3.74t+2.45

is that correct?
 
When you are done check your answer

This is what i got
its in white so you must highlight
1368x^3 - 381x^2+3.74X+2.45
=2.45=instant velocity

lol
oh t is 0
well this is how you would find instant acceleration at other times
4104x^2-762x+3.74

sorry I added extra but I am just learning this so I thought it would be good practice.
 
Oh sorry I guess tex equations don't turn white
 
Besides, you used x as the variable rather than t :wink:
 
Darn I was so close to getting it right
 
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