velocity is the change in position with respect to the change in time and acceleration is the change in velocity over time.. is that what you mean?
this question was on a quiz and I got it wrong.. I can't seem to make it make sense in my head. I have the answers and I still can't figure out how to get there.
You're exactly right so far! So what mathematical process gives you the change of something (i.e. position 'x') with respect to a variable (i.e. time 't')?
You have the right idea, you're just not taking the derivative correctly.
[tex]x = At^2 + Bt + C[/tex]
[tex]v = 2At^1 + Bt^0 + 0[/tex] You always decrease the power of the variable by one--but if there is no variable, then the derivate is zero---in other words: if there is no variable, it is constant, and thus the slope/change is zero.
Then the 'B' term becomes just B, and the C term drops out (is zero). ====>
[tex]v = 2At + B[/tex]
then you repeat to find the acceleration, and plug in to find the values.
Does that make sense? Make sure you review your derivatives :)
What does the acceleration equal?
Yeah, that's definitely an extra challenge, but its totally doable.
They key is just not getting overwhelmed by it; go one step at a time, one problem at a time, one concept at a time.