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Homework Statement
A point P starts from rest and accelerates uniformly (meaning x'' = constant) to a speed of 88 ft/sec after traveling 120 ft. Find the acceleration of P.
Homework Equations
x=position
v=velocity=dx/dt
a=acceleration=dv/dt
The Attempt at a Solution
The answer is 32 ft/s^2. Please look at the attachment for the solution. I don't understand it. Why is v integrated with respect to dv while the acceleration x'' is integrated with respect to t? Also wouldn't the integral of v give the position while the integral of acceleration give the velocity? How are they then equal? Sorry but I'm confused about this. Any help appreciated thanks!
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