A bungee cord stretches and compresses as a person of mass m m bounces up and down. The position y y of the person at time t t is described by: y ( t ) = A cos ⁡ ( t k m ) y\left(t\right)=A\cos\left(t\sqrt{\frac{k}{m}}\right) , where A A is the amplitude of oscillation, 0"> k > 0 k>0 is the stiffness of the bungee cord, and y ( t ) y(t) is positive when the person is above the equilibrium position. If the stiffness of the bungee cord is increased ninefold ( k → 9 k k→9k ), how will this affect the velocity of the person during oscillation?

The velocity will increase by a factor of 3 3 3 .

The velocity will decrease by a factor of 3 3 3 .

The velocity will increase by a factor of 9 9 .

The velocity will remain the same.

A bungee cord stretches and compresses as a person...

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