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#1 Re: Help Me ! » Dynamics/motion under gravity problem... » 2009-07-27 22:15:56

Never mind, I found the solution smile

Definite integrals are your friend.

#2 Help Me ! » Dynamics/motion under gravity problem... » 2009-07-27 21:15:07

Patjamet
Replies: 1

Hey guys, just require some help with some 12 maths C homework..

The question asks for the distance travelled by a 5kg mass when it comes to rest, with an initial velocity of 14m/s. The only force acting on the object is friction, F = 0.2v+5 Newtons.

Where v = velocity.

I've already found one part of the question, the equation for velocity with respect to time:

t = time

Please give me some tips/show me a method for finding the distance travelled by the mass when it comes to rest... I'd prefer just some friendly advice/to be pointed in the right direction because I really want to learn this stuff, but if showing an exact method is easier then go ahead.

I've tried many a thing. But I cannot seem to make any sense out of it.

#4 Re: Help Me ! » Simple question, need help » 2009-06-20 23:10:35

You can't solve this unless you have two other simultaneous equations. Three variables requires three equations to solve

#5 Help Me ! » Optimisation using derivatives - equation unknown » 2009-06-20 22:59:48

Patjamet
Replies: 2

I'm having a bit of trouble with a maths problem which requires the use of derivatives to solve.

The question is:

"A cylinder of cheese is to be removed from a spherical piece of cheese radious 8cm. What is the maximum volume of the cylinder of cheese?"

I know that in order to solve this, the equation that needs to be maximised is the volume of the cylinder:

I know i've gotta differentiate that and find the maximum, but I'm having trouble using the additional information (sphere = 8cm r) to equate V to one variable and solve.

Help? big_smile

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