Can someone start this problem for me?

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The discussion revolves around solving a problem of one-dimensional motion with constant acceleration. A body has an initial velocity of 12.0 cm/s at an x-coordinate of 3.00 cm and reaches -5.00 cm after 2.00 seconds. The correct equation to use is x = x_0 + v_0t + (1/2)at^2, but there was confusion regarding the initial velocity term. After recalculating, it was revealed that the correct acceleration is indeed 16 cm/s², not -10 cm/s², due to a misinterpretation of the velocity term in the equation. The discussion highlights the importance of accurately applying kinematic equations in physics problems.
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One-dimensional motion with constant acceleration

a body moving with uniform acceleration has a velocity of 12.0cm/s when its x coordinate is 3.00 cm. If its x coordinate 2.00s later is -5.00cm, what is the magnitude of its acceleration?

i am guessing that you use the equation for velocity in form of displacement, but I am not sure at all

some help on just picking an equation to use for this problem and starting the problem for me wud be greatly appreciated. more posts coming because I am so totally lost in this chapter.
 
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For uniform acceleration:
x = x_0 + v_0t + \frac{1}{2}at^2 (you can get the equation by integrating)
 
im still not getting it

i knew about this equation, but i still dunt no what I am doing wrong. i plugged in: (-5cm)=(3cm)+(12cm/s)+(1/2)(a)(2s)
 
x = x_0 + v_0t + \frac{1}{2}at^2
Solve for a:
a = 2\frac{x-x_0-v_0t}{t^2}
x, x_0, v_0, t are given.
 
...

i got -10 cm/s^2

but in the back of the book it says 16.

i put x=-5 x_0=3 v_0=12 and t=2s

i believe I am getting v_0 wrong
 
I get (without units):
a = 2\frac{-5-3-12*2}{2^2} = -16
Did you notice it's v_0t, meaning v_0 times t?
 
wow thx, i wrote my equation on my equation sheet wrong.
 
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