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^yeah. the astronaut is decelerating, as he returns, so the force on him is upwards. that means he would have to have his eyes also facing upwards

I know they've already been answered, but.. 1. where r is the diagonal distance; r2 = x2 + 602 2r.dr = 2x.dx dr/dx = x/r and dx/dt = 8 when r = 100, x = 80, so x/r = 4/5 dr/dx.dx/dt = dr/dt = 4/5 *8 = 6.4 2. dX/dt = 3, dY/dt = 4 R2 = X2 + Y2 2R.dR = 2X.dX + 2Y.dY after 2 hours, the Y distance...

Re: 回复: Re: Do you like maths? most people won't use most of the maths we learn in their lifetime, but the problem solving skills can always come in handy

Re: 回复: Re: Do you like maths? imo circle geometry is pretty good. it makes you think about stuff like 'why would that be true', 'how would I prove it', 'what else must be true if it is true' etc. that kind of thinking/visualising would almost certainly have applications the only possible...

yes - for every force there is an equal and opposite force (same magnitude, opposite direction) FG = Gm1m2/r

if there aren't any min or maxes in the range, then it must be the case that the min and max within the range occur at the extremities, ie 0 and pi cos0/(1+sin0) = 1 cospi/(1+sinpi) = -1 so they are the max and min values I don't know how you can get 5 marks out of that question though

log1021000 = 301.03 so 10301.03 = 21000 what ever the power of 10 is, the number of digits of the number is 1 more than that (rounded down), so the number of digits is 302

Re: Should English be Compulsory? ^ agreed. sucks that it has to count for your UAI I reckon it really needs improving as a subject, but would I imagine that that's probably true for most other subjects too

should probably just dig up one of the other threads on this. it doesn't really need a new one

behold the wrath of the mighty namu!

K was found by finding a value such that 27K3/9K = 4/3, so we could turn it into a multiple of the cos3A expansion. This gives K = 2/3. When we substitute x=2/3cosA in we get 2(cos3A) = 1, so cos3A = 1/2 = cos60, cos300, cos420 etc. (you don't need any more values, since they give the same as...

okay, okay :(

nah, the mass isn't negative - that's just absurd. the velocity is imaginary :p you need a reference frame - define positive/negative - for giving vectors a direction too, don't you? when summing voltage drops and rises around a loop in a circuit you take one to be positive and one to be...

a = -g sin@ and the horizontal component of the motion is l sin@ so if we make the assumption that the acceleration and the displacement are always acting in the same direction*, then we can take @=sqrt(g/l)*t to make it such that d2s/dt2 holds when differentiating displacement w.r.t time...

Re: 回复: Re: Complex locus. it would just be the area in between the hyerbolas for xy = 1 and xy = -1 wouldn't it?

sure

what about prove/show questions? there's often more than one answer there

I think she is singing a rap song about bitches and hos and slapping them and stuff

can't scalars be considered negative? eg. energy, voltage? you can subtract scalars.. (in this question displacement and distance are interchangeable anyway)