Understanding Simple Harmonic Motion: Equations and Solution Attempt

[Cici2017]

Homework Statement

Homework Equations

The Attempt at a Solution

I know that when displacement is max, kinetic energy is 0
and when displacement is o, kinetic energy is max
and I know is should always be above the axis because KE can't be negative
But what about the amplitude and frequency? Thank you!

 

[scottdave]

Think of the relation of kinetic energy to speed. What on this graph gives you an indication of how fast it is moving?

 

[DrClaude]

But what about the amplitude

The problem explicitly tells you to "ignore the actual values."

and frequency?

That should come about naturally from the conditions you have found out for the KE.

 

[scottdave]

I would use a trig identity for cos²(Θ), to get an idea of what is going on, to help you sketch. It doesn't have to be exact, just a sketch.
Here is a pretty good list of trig identities. http://www.mathwords.com/t/trig_identities.htm