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Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread The amplitude of a particle moving in simple harmonic motion is 5 metres, and its acceleration when 2 metres from its mean position is 4 m/s^2. Find the speed of the particle at the mean position and when it is 4 m from the mean...

Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread Need help with q22 ex 3e motion cambridge yr 12 a particle moves on a line and the table below shows some observations of its positions at certain times t 0 .....................7.................. 9 ................ 11...

Re: HSC 2016 3U Marathon well the cambridge book stated at the end that the answers was t = 8 tan^-1(6) so became confused as to what i was trying to solve. the question is stating for x=4 right?

Re: HSC 2016 3U Marathon Yes it is sorry my bad... do you know what i have to do afterwards?

Re: HSC 2016 3U Marathon A particle moves in simple harmonic motion with period 8pi. Initially, it is at the point P where x = 4 moving with velocity v =6. Find, correct to three significant figures, how long it takes to return to P: by expressing the motion in the form x = b sin nt + c cos...

Re: HSC 2016 3U Marathon FUCK I SEE IT .............................................................. alright thanks a lot xddd

Re: HSC 2016 3U Marathon the problem is that when i use quadratic for -t^2 + t +1 = 0 i get t = (-1 + sqrt (5))/2) and not t = (1+ sqrt (5))/2)

Re: HSC 2016 3U Marathon agreed but if i was to differentiate that function id end up with 4(e^-t) (-t^2 + t +1) to which i found the maximum value for t is t= (-1+root5)/2 and not what the answer says as t = (1+root 5)/2

Re: HSC 2016 3U Marathon agreed but if i was to differentiate that function id end up with 4(e^-t) (-t^2 + t +1) to which i found the maximum value for t is t= (-1+root5)/2 and not what the answer says as t = (1+root 5)/2

Re: HSC 2016 3U Marathon so whats the difference with just a-b if i was to differentiate it anyways

Re: HSC 2016 3U Marathon after differentiating xA - xB i ended up with 4(e^-t) (-t^2 + t +1). why does the absolute and the one without the absolute affect the answer? im just wondering

Re: HSC 2016 3U Marathon 4(e^-t) (-t^2 + t +1)

Re: HSC 2016 3U Marathon wait so ive tried what leehuan said and i subtracted it and i end up with t = -0.5(1+ root 5) as the max value instead of t = 0.5(1 + root5) ive doubled checked and i dont see any errors. Thoughts?

Re: HSC 2016 3U Marathon Two particles A and B are moving along a horizontal line with their distances X(A) and X(B) to the right of the origin O at time t given by X(A) = 4te^(-t) and X(B) = -4(t^2)(e^-t). The particles are joined by a piece of elastic, whose midpoint M has position X(M) at...

Re: HSC Chemistry Marathon 2016 The river water downstream from a factory was suspected of having lead ion and barium in contamination. Analysis of a sample of this water by atomic absorption spectroscopy found its absorbance valuet the main lead wavelength to be 0.078. The absorbance value...

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread proof by induction: n(n+1)(n+2) is divisible by 3 for all integers greater than or equal to 1 prove that 7^n+3n(7^n)-1 is divisible by 9 for all positive numbers n prove that 5^n > n^5

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread induction question: 2^n >= 2n^3 (for integer values greater than 12)

Re: HSC 2016 4U Marathon The tangents at two points P (x1,y1) and Q (x2,y2) are on the ellipse x^2/16 + y^2/9 = 1 intersect at A (x0,y0) a) If the chord PQ: xx0 / 16 + yy0 / 9 = 1 touches the circle x^2 + y^2 / 9 , then by considering the distance of the chord from the origin, show that the...

Re: MX2 2016 Integration Marathon integrate 1/(x^2+2x-1)^(1/2)

Re: HSC 2016 4U Marathon (b) Let C1 ≡ x2 + 3y2 − 1, C2 ≡ 4x2 + y2 − 1, and let λ be a real number. (i) Show that C1 + λC2 = 0 is the equation of a curve through the points of intersection of the ellipses C1 = 0 and C2 = 0. (ii) Determine the values of λ for which C1 + λC2 = 0 is the equation of...