A 1.00-kg glider attached to a spring with a force constant 16.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = -2.90 cm (that is, the spring is compressed by 2.90 cm). Find the period of the glider's motion. Find the maximum values of its speed and acceleration, speed m/s acceleration m/s^2 Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s^2, and t is in s. Use the following as necessary: t.) x(t) = v(t) = a(t) =

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The term "spring with a force constant" refers to the proportional constant k. It gauges the stiffness of the spring.

A spring produces a force in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length. Constant force springs, which are frequently constructed of steel, are created by coiling a steel ribbon over itself or by winding a flat sheet of steel around a drum (with a virtually constant radius). One end of the spring is fastened to a weight, and the spring is installed in its intended use. If the masses and springs are the same, frictionless vertical and horizontal spring-mass systems oscillate indistinguishably around an equilibrium point.

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