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A 1.0 kg ball is moving in a conservative force-field that is characterized by the potential...

A 1.0 kg ball is moving in a conservative force-field that is characterized by the potential energy function, U(x) = -8.5 x2 + 0.25 x3, where x is in meters. This conservative force is the only force acting on the ball. At x = 0 m, the ball is moving in the +x direction with speed 3 m/s. At what position, x>0, is the speed of the ball a maximum?

What is the ball's speed at the position you found in part A?

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