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Projectiles. 2-D Motion. Now we have movement in both x & y dirs. Gravity acts down v y changes No force horizontally v x is constant. Steps. Separate everything into x & y columns only time can pass between the columns a = -9.8 m/s 2 in y -direction
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2-D Motion • Now we have movement in both x & y dirs. • Gravity acts down • vy changes • No force horizontally • vx is constant
Steps • Separate everything into x & y columns • only time can pass between the columns • a = -9.8 m/s2 in y-direction • Write all givens in correct columns • separate vo into vox and voy • Write equations • 3 Amigos in the y-direction • v=Δs/t in the x-direction • Solve
A cannon is fired with vo = 40 m/s at a 30° upward angle. How far away does it land? vo θ ____x____ ___y___
A cannon is fired with vo = 40 m/s at a 30° upward angle. How far away does it land? vo θ ____x____ ___y___
Tips • Horizontal projectiles have θ = 0° • At the peak, vy = 0 • If it starts and ends at the same level: • vfy = -voy • Δy = 0 • at the peak t = ½ the total travel time • vox = vfx = vx everywhere