Finding initial speed and accleration

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SUMMARY

The discussion focuses on solving a physics problem involving a truck that covers 50.0 meters in 9.00 seconds while decelerating to a final speed of 2.40 m/s. The user initially attempted to apply the equations of motion incorrectly but was guided to use the correct formulas: \( x = x_0 + v_0 t + \frac{1}{2} a t^2 \) and \( v = v_0 + at \). By rearranging these equations, the user successfully determined the truck's initial speed and acceleration, emphasizing the importance of correctly identifying known and unknown variables in kinematic equations.

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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 acceleration.


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 acceleration and Vo as unknown variables. i just need a hint on what's the best way to find acceleration 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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