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Projectile Motion Worked Examples

A step-by-step animation solving projectile motion problems for stones and balls launched at an angle. It shows how to break initial velocity into horizontal and vertical components, why horizontal velocity stays constant, how to find time to peak height using vertical deceleration, and how to calculate total flight time and range using symmetry. Useful for physics students practicing exam-style kinematics problems, with Arabic narration and English equations.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Problem 4 (Exam Style Side Question):Prompt & Motion: A stone launched from ground level at 12 m/s at a 30-degree angle.Voiceover & Step-by-Step Breakdown:(A) Horizontal Velocity Component at Peak:Why? Horizontal speed never changes throughout flight because horizontal acceleration is zero. Calculation: Vx = 12 * cos(30°) = 10.39 m/s(B) Total Return Time to Ground:Why? Solve for ascent time first, then double it due to symmetry. Calculation 1: v0y = 12 * sin(30°) = 6.0 m/s => t_up = 6.0 / 9.8 = 0.612 sCalculation 2: T_total = 2 * 0.612 = 1.22 secondsScene 8: Problem 5, Problem 6, & Problem 7Problem 5 (Exercise A):Prompt & Motion: Ball launched at 39.2 m/s at a 30-degree angle from the ground.Voiceover & Step-by-Step Breakdown:(i) Initial Vertical Velocity (v0y):Calculation: v0y = 39.2 * sin(30°) = 19.6 m/s(ii) Horizontal Velocity after 1.5 seconds:Why? Horizontal speed remains constant regardless of elapsed time. Calculation: Vx = 39.2 * cos(30°) = 33.95 m/s(iii) Time to Max Height:Calculation: t = v0y / g = 19.6 / 9.8 = 2.0 seconds(iv) Horizontal Range (R):Why? Total air time = 2 * 2.0 = 4.0 seconds. Calculation: R = 33.95 * 4.0 = 135.8 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

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