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It's a projectile motion from cambridge, I can do every part, except part a) ii) the shwing T2 thingy~ thanks heaps!~

it came from year1994..... if anyone know, please help to understand it.

by doing JR past trial papers, i found some of their locus question asked to restriction of locus?! How do I obtion those restriction? cause they seems like coming out from no where to me T_T

I can do most of the questions, but when question involve unknow value of V (the initial velocity) and alpha or theta (the initial angle of projection) then i have fully lost... Like for those questions, I can find expression for time of flight , range, maximum height etc... but they are all...

[This is come from 3Units Jones and Couchman Book2 Ex23.5 Q5a and 6c] Q5a) If P(2ap,ap^2) and Q(2aq,aq^2) are points on the parabola x=2at, y=at^2, and S is the focus, prove that PS+SQ=a(p^2 +q^2 +2). and Q6 i know how to do the first 2 parts, a) A stright line through T(0,-a) cuts...

4 Mixed Questions! Q1. A is the point (-2,0) and B the point (2,0). A point P moves such that AP=3PB. Prove that the locus of P is a circle whose equation is x^2 + y^2 -5x +4 = 0 and find the centre and radius of this circle. (This part already done, the following part is the part that I...

Q1 AD and BE are altitudes of triangle ABC, BC = 5cm, CA = 6cm and AD = 4.5cm. Find the length of BE. Q2 During a survey, two points A and B are ends of a base line. AB = 85metres. Compass bearings are then taken as shown on the survey sketch. Find the size of angle BAC and angle ABC...

At a point P on the parabola, x^2=4ay (x^2 denoted x squared), a normal PK is drawn. From the vertex O a perpendicular OM is drawn to meet the normal at M. Show that the equation of the locus of M as P varies on the parabola is x^4 - 2ayx^2 + (xy)^2 - ay^3 = 0

HELP!!! 1 Paramter Question and Few Circle Geom! Q: [This is come from 3Units Jones and Couchman Book2 Ex23.6 Q15b] PQ is a focal chord in the parabola x^2 = 4ay. (x^2 is x squared) PT is drawn parallel to the tangent at Q and QT is drawn parallel to the tangent at P. Show that the locus...