Need help setting up basic dynamics problem

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The discussion focuses on solving a dynamics problem involving a point A that oscillates with an acceleration equation of a = 2880 - 144x. The user seeks to determine the maximum velocity and the positions where the velocity is zero, given an initial velocity of 11 in/s at x = 20.4 in. The correct approach involves integrating the acceleration equation to derive the velocity equation, identifying the critical point at x = 20 in for maximum velocity, and solving for the zeroes of the velocity equation. The user’s error stems from not accounting for the phase angle or time-offset when calculating maximum velocity.

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point a oscillates with accel of a=2880-144x. Magnitude of velocity is 11in/s when x=20.4in. Determine the max velocity of A & two positions at which velocity is zero.

Why am I getting this wrong :( It seems so easy

integrate a=2880-144x to get v, plug in 11in/s and 20.4in as the initial values, solve for the constant and you get the velocity equation. From the acceleration equation you know there is a critical value at x=20in, so plugging x=20 to the velocity equation should give you the max velocity, and the other part is just finding the zeroes of v=...is that the right setup?
 
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Your initial value (v=11in/s) is NOT QUITE at maximum-velocity
location, so if you did not include a phase angle or time-offset,
(ending up with 20.917...) that might be your error.

umm, how do you know you're getting it wrong?
 

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