Consider an unforced harmonic oscillator with frequency ?? which satisfies the equation

yn+w2y=0.

Suppose the mass is struck once with a hammer force of 4 units at time t=8, and the mass was initially displaced 3 units (positive downwards) and let go with 2 units of initial velocity. Set up the initial value problem corresponding to this situation, where the hammer strike is modeled by a Dirac delta generalized function

F=Kb(t-c)

and initial conditions

y(0)=y0, y`(0)=y1.

Find the parameters K, c, y0 and y1.

Ascientist wants to use a model to present the results of his detailed scientific investigation. why would a model be useful? a )because the model makes the concepts easier to understand b) because the model is easy to put together and to use c) because the model prevents other scientists from asking questions d) because the model requires the audience to pay full attention to it i don't know what to choose because between a and d a is much more likely than d because it only wants to get the attention of the audience. i'm confuse.