Determine Speed & Acceleration of Spring Motion

[mikefitz]

An 0.64-kg object is attached to one end of a spring, as in Fig. 10.14 and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing above. Please take the values of A and T as: A = 0.087 m and T = 1.8 s. With the aid of this data, determine


ive already calculated amplitude, angular frequency, spring constant.

I can't figure out how to calculate these:

(d) the speed of the object at t = 3.6 s

(e) and the magnitude of the object's acceleration at t = 3.6 s


any tips??

 

[radou]

You have a function x(t) which represents displacement. Now, what do the first and second derivatives of this function with respect to time represent?

 

[mikefitz]

sorry but I'm really lost here - can you please clarify what you mean by what the first and second derivatives with respect to time means? thanks for your patience

 

[radou]

sorry but I'm really lost here - can you please clarify what you mean by what the first and second derivatives with respect to time means? thanks for your patience

I don't want to sound uncooperative, but I think you should do some google-ing at this point or consult your physics/calculus books.