Finding initial speed and accleration

AI Thread Summary
To find the truck's initial speed and acceleration, the equations of motion are applied. The truck covers 50.0 m in 9.00 s while decelerating to a final speed of 2.40 m/s. The correct approach involves using the equations x = v0*t + 1/2*a*t^2 and v = v0 + at, where both initial speed (v0) and acceleration (a) are unknown. By rearranging the second equation to express v0 in terms of a and substituting it into the first equation, the values can be solved. This method leads to the correct calculations for both initial speed and acceleration.
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1. A truck covers 50.0 m in 9.00 s while smoothly slowing down to final speed 2.40 m/s.

Find the trucks original speed.

Find its accleration.


2. Homework Equations
im using
x = v0*t + 1/2 *a*t2
and
v2 = v02 + 2*a*x

I believe this is what the question gives me.

Xo = 0
Xf = 50
Vo = ?
Vf = 2.4
a = ?
t = 9 secs


3. I am positive that i have to use the two equations stated above. but both equations have accleration and Vo as unknown variables. i just need a hint on what's the best way to find accleration or Vo. I don't know if I am clear what I am saying but its the best way i can explain it. sorry.
 
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Hm...ok I tried the problem (I suck @ sig figs hope you're better @ them).

first your formula's are wrongish:

x=x_0+v_0 t+\frac{1}{2}at^2
v=v_0+at

you could easily use the 2n'd formula to find a but you don't know initial v.

So use the first formula, since you're given begining/ending position and ending speed.
But you need to solve for initial v first. even though you don't know it you know that v=v0+at so move the variable's on the 2n'd formula to solve for initial v, plug that into the first and solve for a, and go from there.
 
thanks. worked them to get right answer. silly mistake using wrong equations.
 
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