The displacement x of a simple harmonic motion is given by X = 24 cos (6.28t + 1.57) meters. What is the maximum speed of the oscillator.

And for this case we can write this expression like this:

The velocity would be given by the first derivate and we got:

And the maximum velocity would be:

Explanation:

For this case we have the following function for the position:

And for this case we can write this expression like this:

The velocity would be given by the first derivate and we got:

And the maximum velocity would be:

if the thermos has a vacuum innner, then heat through conv currents and conduction are reduced = vacuum flask