anonymous
  • anonymous
Sorry to ask a stupid question but in the second lecture (Kinematics) there was this equation (x = 8 - 6t + t2) and i never studied this before, could some one explain how to solve this, Thank you
MIT 8.01 Physics I Classical Mechanics, Fall 1999
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
x is the displacement. it is given as a function of time 't'. now velocity v=dx/dt differentiate the given function w.r.t time, you will get the velocity. if you need to find acceleration, differentiate it again.
anonymous
  • anonymous
Do you know derive? If not tell me I teach you the simpliest way.
sk8rgirl12
  • sk8rgirl12
It's not stupid. You don't know unless you ask or try. One of the 2. Either experience it, or learn from someone who has. That is my best advice.

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anonymous
  • anonymous
we have displacement as function of time \[x = 8 - 6t + t^2 \] and when you differentiate it, you get \[frac{dx}{dt} = -6 + 2t = v \] and when you differentiate it again you get \[frac{dv}{dt} = 2 = a \] a is acceleration and v is velocity, here you have simple derivatives like \[frac{d(x^2)}{dx} = 2x \] etc...
anonymous
  • anonymous
sorry for my math formula bad writing, i am not familiar with this syntax (this is not latex ?) :) frac is just a fraction

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