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# L03b - Physics 111 Lecture 3b"If GM had kept up with...

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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

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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 y -direction cannot affect velocity in the x -direction, only in the y -direction 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, 0 + a x t v y = v y, 0 + a y t (1) Δ x = v x, 0 t + 1 2 a x t 2 Δ y = v y, 0 t + 1 2 a y t 2 (2) v 2 x = v 2 x, 0 + 2 a x Δ x v 2 y = v 2 y, 0 + 2 a y Δ y (3)

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