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They're all re-entry issues (apart from the last one) - I need landing issues

What are some issues associated with landing on the Earth's surface? (and ways to deal with them)

What is the mathematical significance of the vertical and horizontal motions being perpendicular?

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You usually do it as part of differential calculus when you differentiate trig functions

Find the sum of the first n terms of Tr = 2r + 2r - 1 (its the sum of an arithmetic and geometric series) I got n2 - n/2 + 2n+1 - 2 But the textbook says n2 + 2n+1 - 2

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Why is the graph for g-force/acceleration a curve and not linear? See graph:

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Prove that 2n+2 + 32n+1 is divisible by 7 for all integers, n > 0 So far I have: Let n = 1 23 + 33 = 8 + 27 = 35, which is divisible by 7 Assume true for n = k 2k+2 + 32k+1 = 7M Consider n = k + 1 2k+3 + 32k+3 = 2k.23 + 32k + 33 = 2k.8 + 9k.27 = 2k.8 + 9.(3.9k) = 2k.8 +...

The answer is 6/5 :spin:

A bowl is formed by rotating the part of the curve y = x^4 / 4 between x=0 and x=2 about the y axis. Find the volume of the bowl. From: 2002 Mathematics Exam (2 Unit)

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Re: HSC 2013 3U Marathon Thread V = 5/24 pi a3

Re: HSC 2013 3U Marathon Thread Integration - Volume of Solids of Revolution A hemispherical bowl of radius a units is filled with water to a depth of a/2 units. Find, by integration, the volume of the water.

The normals to the parabola x2 = 4Ay at the points P1 and P2 intersect at Q. If the chord P1P2 varies in such a way that it always passes through the point (0, –2A), show that Q lies on the parabola.

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A rotating light L is situated at sea 180 metres from the nearest point P on a straight shoreline. The light rotates through one revolution every 10 seconds. Show that the rate at which a ray of light moves along the shore at a point 300 metres from P is (136) pi m/s. So far I have: 1...

I was trying to fix up some of the HSC Physics notes