STAIRS UP LIVING ROOM BEDROOM 1 KITCHEN BATH BEDROOM 2 14 000 mm 17 000 mm NORTH 0 2 4 6m PROJECT RESIDENTIAL DWELLING GROUND FLOOR PLAN DRAWING NO. DWG-A101 SCALE 1:100 REV A SHEET 1 OF 3 ATARprepAI PLATFORM TOTAL LENGTH 63.7 m WINGSPAN 60.1 m COCKPIT VERT. STAB. CFM56 TURBOFAN PROJECT COMMERCIAL AIRLINER GENERAL ARRANGEMENT SIDE ELEVATION · 1:400 DWG-AE201 SHEET 1 OF 4 ATARprepAI — AEROSPACE REF.
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Question 3 of 10 · Physics · WACE — Motion Graphs
Visual aid
Velocity vs Time 0 5 10 15 20 0 2 4 6 Object A Time (s) Velocity (m/s)
Using the area under the graph between t = 0 and t = 6 s, what is the total displacement of the car?
72 m — area of the triangle under the v-t curve
B
144 m
C
24 m
D
48 m
✓ Area = ½ × base × height = ½ × 6 × 24 = 72 m. The area under a v-t graph gives displacement — a classic WACE graph-reading question.
MAIN SPAN 320 m 150 m SAG POINT DWG-CE301 · SUSPENSION BRIDGE 1 2 3 4 5 1 2 3 -1 -2 f(x)=x² x y sin(x) origin (0,0) DWG-M401 · CARTESIAN GRAPH
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STATISTICS — NORMAL DISTRIBUTION x f(x) μ μ–σ μ+σ 68% P(μ–σ < X < μ+σ) = 68.27% P(μ–2σ < X < μ+2σ) = 95.45% z = (x–μ) / σ DWG-ST101 · NORMAL DISTRIBUTION MESH ω₁ GEAR TRAIN ASSEMBLY
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PHYSICS — OPTICS & WAVES CONVEX LENS · RAY DIAGRAM Object F F' Image 1/f = 1/do + 1/di (lens equation) m = –di/do (magnification) WAVE INTERFERENCE constructive Δl = mλ (constructive) Δl = (m+½)λ (destructive) 12 000 mm 9 500 mm DWG-A201 · FRONT ELEVATION a = 180 b = 160 c = 240.5 a² + b² = c² 180² + 160² = 240.5² 32400 + 25600 = 57840 θ α CENTROID altitude h DWG-M402 · PYTHAGOREAN PROOF
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MATHEMATICS — POLAR & VECTORS POLAR COORDINATE SYSTEM θ r (r,θ) x y x = r cosθ y = r sinθ r = √(x²+y²) θ = arctan(y/x) 3D VECTORS z x y v⃗ a⃗·b⃗ = |a||b|cosθ (dot product) |a⃗×b⃗| = |a||b|sinθ (cross) NOZZLE VIEWPORT 65 m TOTAL AEROSPACE LAUNCH VEHICLE DWG-AE301 · SIDE ELEVATION
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P₁ P₂ DWG-CE302 · PRATT TRUSS 1 2 3 4 5 6 1 2 3 4 a b ∫ f(x) dx a b AREA UNDER CURVE = NET DISPLACEMENT f(x) x max f(x) DWG-M403 · RIEMANN INTEGRAL APPROXIMATION
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LOUNGE KITCHEN BEDROOM BEDROOM ROOF SPACE DWG-A301 · SECTION AA + 12V EMF R₁ = 100Ω C=100μF R₂ = 220Ω L=10mH LED I→ DWG-EE401 · CIRCUIT SCHEMATIC
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