Find velocity and acceleration using derivatives

[carlotta5b]

Homework Statement

we know that the simple armonic motion is characterized by x(t)=Acos(wt), find velocity and acceleration of s.h.m. using derivatives.

Homework Equations

The Attempt at a Solution

i should find derivatives of the component of the vector R (Rcos(wt),Rsin(wt)).

 

[DuckAmuck]

first derivative is velocity, second derivative is acceleration

 

[RUber]

I don't see why you would change this into a 2D problem. It is phrased as a 1D problem where x is position. Velocity should just be $\frac{d}{dt} x(t)$