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~christina~
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Homework Statement
A particle moves along x-axis It is initially at 0.270m moving with velocity of 0.140m/s
and acceleration of -0.320m/s^2
Suppose it moves with constant acceleration for 4.50s.
Find it's:
a) position and velocity at end of time interval
next assume it moves with simple harmonic motin for 4.50s and x= 0 is it's equillibrium position.
Find it's:
b) position and velocity at end of this time interval
Homework Equations
[tex]x(t)= A cos (\omega t + \phi )[/tex]
[tex]v(t)= - \omega A sin (\omega t + \phi ) [/tex]
[tex]a(t)= - \omega ^2 A cos (\omega t + \phi) [/tex]
The Attempt at a Solution
well I know for the first situation that:
[tex]x_o[/tex]= 0.270
[tex]v_o[/tex]= 0.140m/s
[tex]a_o[/tex]= -0.320m/s^2
and the acceration remain constant for 4.50s
to find a) the postiion and velocity at end of time interval...
I was thinking that I would take the period (T) to equal T= 4.50s?
and would I use 4.51 seconds and use the velocity as a function of time equation
[tex]v(t)= - \omega A sin (\omega t + \phi ) [/tex]
though I need the [tex] \phi [/tex]...hm..
and I think I'm lost here.
can someone Please help me out with this?
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