The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

A spring-mass oscillator consists of a mass and a spring connected as shown. The coordinate s measures the displacement of the mass relative to its position when the spring is unstretched. Suppose that the nonlinear spring subjects the mass to an accelera tion a =4s–2s3 m/s2 and that you give the mass a velocity v=1 m/s in the position ,s = 0.

(a) How far will the mass move to the right before the spring brings it to a stop?

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(b) What will be the velocity of the mass when it has returned to the position x = 0?