Finding average velocity/displacement/etc with a simple harmonic equation using integration (?)

[TempAccount]

Hello everybody, I have this homework question that I am unsure how to answer, and would appreciate if I could get some help going in the right direction:

I have this simple harmonic motion equation: x(t) = a cos(ht - g), a = amplitude, h = angular frequency, g = phase constant, which represents displacement from rest for a mass.
I need to find:
1. average velocity
2. average speed
3. average displacement
4. average distance from rest

I do not know where to begin. I presume it involves integrals as that is the section that we are on in class. I have tried looking up help but have turned up a dead end. I know of the average equation: integral from [a, b] of f(x)/b-a. But otherwise I am stuck.

Could somebody help me in the right direction to start please? Apologies if this is to physics-y for this forum, but it was on my calculus homework.

 

[Deleted member 4993]

Hello everybody, I have this homework question that I am unsure how to answer, and would appreciate if I could get some help going in the right direction:

I have this simple harmonic motion equation: x(t) = a cos(ht - g), a = amplitude, h = angular frequency, g = phase constant, which represents displacement from rest for a mass.
I need to find:
1. average velocity
2. average speed
3. average displacement
4. average distance from rest

I do not know where to begin. I presume it involves integrals as that is the section that we are on in class. I have tried looking up help but have turned up a dead end. I know of the average equation: integral from [a, b] of f(x)/b-a. But otherwise I am stuck.

Could somebody help me in the right direction to start please? Apologies if this is to physics-y for this forum, but it was on my calculus homework.

Please post the COMPLETE problem - verbatim - as it was presented to you.

You cannot calculate "average velocity" without a given time-span!