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Unformatted text preview: 1 / 11 Physics 111 Lecture 3b “If GM had kept up with technology like the computer industry has, we would all be driving $25 cars that got 1000 MPG.” –Bill Gates 2D Kinematics equations 2D Kinematics equations Projectile motion Question Velocity Trajectory Question Range 2 / 11 ■ The kinematics equations that we have learned for 1D motion (when a = constant ) still hold when we increase to two dimensions ■ But the equations apply to each component of the 2D motion ■ BIG PHYSICS CONCEPT!!!! ■ Horizontal and vertical motion are independent of one another ■ Neither motion affects the other ■ For example, if acceleration and velocity are collinear, then velocity changes in magnitude and not in direction ■ Thus, acceleration in the ydirection cannot affect velocity in the xdirection, only in the ydirection ■ If vectora ⊥ vectorv , then vectorv only changes direction, not magnitude 2D Kinematics equations 2D Kinematics equations Projectile motion Question Velocity Trajectory Question Range 3 / 11 ■ As long as a x and a y are constant, the kinematics equations for 2D read as v x = v x, + a x t v y = v y, + a y t (1) Δ x = v x, t + 1 2 a x t 2 Δ y = v y, t + 1 2 a y t...
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This note was uploaded on 04/22/2008 for the course PHYS 111 taught by Professor Madrid during the Winter '08 term at Ohio State.
 Winter '08
 Madrid
 Projectile Motion

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