An object with mass m is initially at rest at the origin x = 0 . At time t = 0 it starts to accelerate with a changing acceleration along the +x direction. At time t = T it is at the point x = xT and its speed is measured as v(T) = vT

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An object with mass m is initially at rest at the origin x = 0 . At time t = 0 it starts to accelerate with a changing acceleration along the +x direction. At time t = T it is at the point x = xT and its speed is measured as v(T) = vT

I was solving past year exams and I came across these questions. Can we use the work-energy theorem with varying acceleration? I would appreciate your help on the 6th question.

College-Physics-Work-Energy

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An object with mass m is initially at rest at the origin x = 0 . At time t = 0 it starts to accelerate with a changing acceleration along the +x direction. At time t = T it is at the point x = xT and its speed is measured as v(T) = vT

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An object with mass m is initially at rest at the origin x = 0 . At time t = 0 it starts to accelerate with a changing acceleration along the +x direction. At time t = T it is at the point x = xT and its speed is measured as v(T) = vT

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An object with mass m is initially at rest at the origin x = 0 . At time t = 0 it starts to accelerate with a changing acceleration along the +x direction. At time t = T it is at the point x = xT and its speed is measured as v(T) = vT