Struggling with Homework? Here's Your Solution!

[dawud]

Homework Statement

It's attached.

Homework Equations

The Attempt at a Solution

I'm stuck on part b. I've attached my attempt at a solution not sure if it's right and, if it is, where to go from there.

 

[jackarms]

All your work looks right so far. So now it looks like you have find times for the maximum and minimum of the speed, which will be a fairly straight-forward optimization problem.

 

[dawud]

All your work looks right so far. So now it looks like you have find times for the maximum and minimum of the speed, which will be a fairly straight-forward optimization problem.

Thanks a lot btw. So I'm guessing I should differentiate the expression again right? And from there work out the max and min turning points of the graph?

 

[dawud]

All your work looks right so far. So now it looks like you have find times for the maximum and minimum of the speed, which will be a fairly straight-forward optimization problem.

Oh man, I don't think this is working out for me lol. Here's the working I've done thus far, I don't think it's correct; any ideas where I went wrong?

Edit: I uploaded the attachments the wrong way round.

 

[jackarms]

No, I think you're going the right way. The derivative does get a bit messy, but it helps that a and w are both constant, so you can throw those out. I think the answers you'll get will be fairly simple too.

 

[dawud]

No, I think you're going the right way. The derivative does get a bit messy, but it helps that a and w are both constant, so you can throw those out. I think the answers you'll get will be fairly simple too.

Since I've now got sin^-1(0) I don't know where to proceed from there. As far as I know, that wouldn't yield a max/min value, or would it? And I don't know how the w in the argument factors into all this