This animation works through two projectile motion problems step by step. The first breaks a 20 m/s launch at 60 degrees into horizontal and vertical velocity components and tracks how vertical speed changes under gravity. The second follows a ball launched at 30 degrees from a 39.2 m building, finding peak height above ground, total flight time using the quadratic formula, and horizontal range. Useful for students practicing component decomposition and multi-stage kinematics problems.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
Problem 6 (Exercise B):Prompt & Motion: Ball launched at 20 m/s at a 60-degree angle.Voiceover & Step-by-Step Breakdown:(i) Initial Horizontal Velocity (v0x):Calculation: v0x = 20 * cos(60°) = 10 m/s(ii) Vertical Velocity at t = 0.50 seconds:Why? Vertical speed decreases under gravity over time. Step 1: v0y = 20 * sin(60°) = 17.32 m/sStep 2: Vy = 17.32 - (9.8 * 0.50) = 17.32 - 4.9 = 12.42 m/sProblem 7 (Exercise C - Elevated Launch from Building):Prompt & Motion: 3D graphic showing a ball launched at 19.6 m/s at a 30-degree angle from the roof of a 39.2-meter tall building.Voiceover & Step-by-Step Breakdown:Given: Building Height = 39.2 m, v0 = 19.6 m/s, θ = 30°.Velocity Components: v0x = 16.97 m/s, v0y = 9.8 m/s(i) Time to Peak Height above roof:Calculation: t = 9.8 / 9.8 = 1.0 second(ii) Max Height above Ground:Why? Total height = building height + height gained above building.Height above roof: y_roof = (9.8 * 1.0) - (0.5 * 9.8 * 1.0²) = 4.9 mTotal Peak Height: 39.2 + 4.9 = 44.1 meters(iii) Total Impact Time on Ground:Why? Use overall vertical displacement equation with net displacement y = -39.2 m. Equation: -39.2 = 9.8t - 4.9t² => t² - 2t - 8 = 0Solving quadratic: (t - 4)(t + 2) = 0 => t = 4.0 seconds(iv) Horizontal Range (R):Why? Multiply constant horizontal speed by total flight time to ground impact. Calculation: R = 16.97 * 4.0 = 67.88 meters IMPORTANT LANGUAGE RULE: All on-screen text must be in Arabic EXCEPT mathematical equations, formulas, laws, symbols, variables, and numerical expressions. Keep every equation, formula, and law exactly as provided, without translating or changing it. Translate only the explanatory text, headings, labels, and descriptions into Arabic. Arabic text must use proper RTL direction and correct Arabic typography. Do not use English text anywhere else on the screen. Audience: student