Question

A glider attached to one end of a string oscillates given by the displacement function x(t)=0.030cas(4.00t). What is the acceleration of the mass after 4.04 seconds?

Answer 1

Find velocity:

$$v(t)=x'(t)=-4·0.030\sin(4.00·t),\\ a(t)=v'(t)=-4^2·0.03\cos(4·t),\\ a(4.04)=-4^2·0.03\cos(4·4.04)=-0.46\text{ m/s}^2.$$