Advance the tutorial to the page that displays $3$ graphs. The location $x=0$ is called the equilibrium position. It is the location where the spring does not apply a force. The moving orange ball begins it's motion far away from $x=0.$

a$)$ Compare and contrast the $\mathrm{x(}\mathrm{t)}$ and $\mathrm{v(}\mathrm{t)}$ graphs.

b$)$ Compare and contrast the $\mathrm{x(}\mathrm{t)}$ and $\mathrm{v(}\mathrm{t)}$ graphs. SHM QUESTION

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oPhys Kinematics Home Forces Conservation Waves Light E & M Rotation Fluids Modern Drawing Tools Fun Stuff Simple Harmonic Motion Tutorial H w=1.2 A = 1 Simple Harmonic Motion Run Pause x=0 So, our equations of motion for an object in Simple Harmonic Motion are as follows: H= Acos(wt) wt v=-Awsin(wt) Related Circular Motion a = -Aw² cos(wt) If you have had some calculus, you might recognize that the velocity equation is just the first derivative of the position equation with respect to time, and the acceleartion equation is the first derivative of the velocity equation with respect to time (and the second derivative of the position equation with respect to time). Note how the slope of the position graph at any point is equal to the velocity at that point, and that the slope of the velocity graph at point is equal to the acceleration at that point. oPhys Kinematics Home Forces Conservation Waves Light E & M Rotation Fluids Modern Drawing Tools Fun Stuff Simple Harmonic Motion Tutorial H w=1.2 A = 1 Simple Harmonic Motion Run Pause x=0 So, our equations of motion for an object in Simple Harmonic Motion are as follows: H= Acos(wt) wt v=-Awsin(wt) Related Circular Motion a = -Aw² cos(wt) If you have had some calculus, you might recognize that the velocity equation is just the first derivative of the position equation with respect to time, and the acceleartion equation is the first derivative of the velocity equation with respect to time (and the second derivative of the position equation with respect to time). Note how the slope of the position graph at any point is equal to the velocity at that point, and that the slope of the velocity graph at point is equal to the acceleration at that point.