Moving particle acceleration problem

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SUMMARY

The particle acceleration problem involves calculating the average acceleration of a particle moving in the xy plane with initial velocity vi = (3.00 i - 2.00 j) m/s and final velocity v = (6.10 i + 4.90 j) m/s at t = 2.50 s. The correct formula for average acceleration is derived from the change in velocity divided by the change in time, resulting in a constant acceleration vector of (1.24 i + 3.76 j) m/s². The initial attempt to express acceleration in terms of time was incorrect; instead, the average acceleration should be calculated as a fixed value by dividing the change in velocity by the time interval of 2.5 seconds.

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  • Understanding of vector operations in physics
  • Knowledge of kinematic equations for constant acceleration
  • Familiarity with the concept of average acceleration
  • Basic proficiency in manipulating and solving equations
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Students studying physics, particularly those focusing on mechanics and kinematics, as well as educators seeking to clarify concepts related to particle motion and acceleration.

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Homework Statement



At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi = (3.00 i - 2.00 j) m/s and is at the origin. At t = 2.50 s, the particle's velocity is v = (6.10 i + 4.90 j) m/s.

(a) Find the acceleration of the particle at any time t. (Use t, i, and j as necessary.)

Homework Equations



avg. acceleration = change in Velocity / Change in time

The Attempt at a Solution



I subtracted the two vectors (vf -vi) and this is what I got for my equation to find acceleration of the particle at any time t.

avg accel. = (3.10i+6.90j)/t

but when I entered this into the web page I got the answer wrong. Any suggestion would be appreciated.
 
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constant acceleration means a fixed number. so it will not be in term of t. simply divide by 2.5 s to get the number.

right?
 

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