Finding the acceleration when initial velocity is not known.

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A particle moves with constant acceleration from x = 10 m to x = 50 m in 2.0 seconds, ending with a velocity of 10 m/s. The average speed calculated is 20 m/s, indicating a negative acceleration or deceleration. The challenge arises from the need to determine acceleration without knowing the initial velocity. By using the average velocity, it is possible to derive the initial velocity. The discussion highlights the importance of utilizing average values in kinematic equations to solve for unknowns.
tcw46
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Homework Statement



In 2.0 s, a particle moving with constant acceleration along the x-axis goes from x = 10 m to x = 50 m. The velocity at the end of this time interval is 10 m/s. What is the acceleration of the particle?


Homework Equations


kinematic equations


The Attempt at a Solution


i'm quite sure its an deceleration because if i calculate the average speed over the period of time i get 40/2 = 20ms-1, which is faster than the final velocity. I haven't find the way to calculate acceleration without initial velocity since every kinematic formula i know have Vi.

Thanks
 
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tcw46 said:
i'm quite sure its an deceleration because if i calculate the average speed over the period of time i get 40/2 = 20ms-1, which is faster than the final velocity.
Good. That means the acceleration is negative.
I haven't find the way to calculate acceleration without initial velocity since every kinematic formula i know have Vi.
Since you calculated the average velocity, use it to figure out the initial velocity.
 
!@&(^#

Thank you..silly me. (i actually went all the way to solve it graphwise...)
 
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