Vibrations of a spring Suppose an object of mass m is attached to the end of a spring hanging from the ceiling. The mass is at its equilibrium position when the mass hangs at rest. Suppose you push the mass to a position units above its equilibrium position and release it. As the mass oscillates up and down (neglecting any friction in the system), the position y of the mass after t seconds is , where is a constant measuring the stiffness of the spring (the larger the value of , the stiffer the spring) and is positive in the upward direction.
Use equation (4) to answer the following questions.
c. How would the velocity be affected if the experiment were repeated with a spring having four times the stiffness ( is increased by a factor of )?