This animation walks through a ball kicked at 19.6 m/s at a 60-degree angle, breaking the velocity into horizontal and vertical components. It shows how to find the vertical component, time to reach maximum height, peak height, and total horizontal range, with each formula and substitution displayed step by step. Useful for students learning projectile motion and teachers illustrating how launch angle affects height and distance in kinematics problems.
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Problem 2 (Try It Yourself - Steeper Angle):Prompt & Motion: Animated comparison showing the ball kicked at a steeper 60-degree angle at the same initial speed (19.6 m/s). Voiceover & Step-by-Step Breakdown:Given: v0 = 19.6 m/s, θ = 60°, g = 9.8 m/s². Initial Vertical Component: v0y = 19.6 * sin(60°) = 16.97 m/sTime to Max Height (t_up):Why? Set Vy = 0 to solve for peak time. Calculation: t = v0y / g = 16.97 / 9.8Result: t = 1.73 seconds Maximum Height (y_max):Why? Apply the vertical displacement equation using peak time. Calculation: y = v0yt - 0.5g*t² = (16.97 * 1.73) - (0.5 * 9.8 * 1.73²)Result: y_max = 14.69 metersScene 7: Problem 3 & Problem 4Problem 3 (Try - Parts A, B, C, D):Prompt & Motion: Graphic diagram of a projectile launched at 19.6 m/s at a 60-degree angle (given √3 ≈ 1.73). Voiceover & Step-by-Step Breakdown:(A) Horizontal Initial Velocity (v0x):Why? Needed to calculate total horizontal distance. Calculation: v0x = 19.6 * cos(60°) = 19.6 * 0.5 = 9.8 m/s(B) Time to Peak (t_up):Why? Vertical motion stops temporarily at the highest point. Calculation: v0y = 19.6 * sin(60°) = 16.95 m/s => t = 16.95 / 9.8 = 1.73 seconds (C) Maximum Height (y_max):Why? To determine peak vertical height. Calculation: y = (16.95 * 1.73) - (4.9 * 1.73²) = 14.67 meters(D) Horizontal Range (R):Why? Multiply constant horizontal speed by total air time (2 * 1.73 = 3.46 s). Calculation: R = 9.8 * 3.46 = 33.91 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