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Explore the fundamentals of projectile motion, focusing on the characteristics of launched projectiles. A projectile is defined as a flying object that moves without propulsion after it has been launched, subject to forces such as air resistance. The course covers how to determine the horizontal and vertical components of initial velocity, expressed as vix and viy, and specific calculations with examples such as a soccer ball launched at 30°. Dive into vector diagrams, acceleration due to gravity, and the key assumptions that simplify projectile motion analysis.
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Fire Away!!! 1-2-3 Ground Launched Projectiles
What is a projectile? • A flying object with no means of propulsion after its launch. • Can be launched with any VELOCITY and at ANY ANGLE • May be subjected to AIR RESISTANCE
Initial velocity What is the horizontal part of the soccer ball’s initial velocity? What is the vertical part of the soccer ball’s initial velocity? vix = vi cos θ viy = vi sin θ 12 m/s 6 m/s 30° 10.4 m/s
What assumptions can we make? • Vertical • Initial velocity = vi sin θ • Acceleration = -9.81 m/s2 • Vertical speed = 0 at top Horizontal • Initial velocity = vi cos θ • Acceleration = 0
Projectile Vector Diagram t1/2 vfy = 0 (at top) x y a = 0 a = -9.81 m/s2 vi = vi cos θ vi = vi sin θ vf = 0 (at top) ttot = 2t1/2 ttot
