Question

A mass attached to a spring is pulled towards the floor then let go. Its height is recorded and

can be modeled by the function: h(t) = -10 cos (4t). How long does it take for the mass
to reach its maximum height in the first cycle?

Answer 1

First find the derivative,

`(d)/(dt)\Big(-10\cos(4t)\Big)=40\sin(4t)`.

Then find the critical point,

`40\sin(4t)=0\implies t=40\mathrm{s}`.

Hope this helps.

I am a little rusty here :(.