# L11 - Remember:ThisWeek&amp;Upcoming...

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Remember: This Week & Upcoming Read Ch. 4.1‐4.6 on Newton’s Laws. Lab next week : RecitaBon #3. Print RecitaBon Assignment and bring to recitaBon/lab session. CAPA assignment #4 is due this evening at 10 PM, to be done on‐line. L11 F 2/5/10 1 Physics 2010

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L11 F 2/5/10 Physics 2010 2 Projectile Motion in 2D If an object is launched at an initial angle of θ 0 with the horizontal, the analysis is similar except that the initial velocity has a vertical component.
L11 F 2/5/10 Physics 2010 3 +y Vertical y-direction Horizontal x-direction θ v 0 v y ( t ) = v 0 sin θ− gt v x ( t ) = v 0 cos θ y ( t ) = y 0 + v 0 y t 1 2 gt 2 x ( t ) = v 0 x t v y 2 ( y ) = v 0 2 sin 2 2 g Δ y v x 2 ( x ) = v 0 2 cos 2 v x 0 v y 0 Kinematic Equations in 2D a y = g y 0 v 0 y = v 0 sin a x = 0 x 0 = 0 v 0 x = v 0 cos y 0 Kinematic equations for projectiles subject to gravity without air resistance.

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L11 F 2/5/10 Physics 2010 4 (1) v y ( t ) = v y 0 gt (4) v x ( t ) = v x 0 (2) y ( t ) = y 0 + v y 0 t 1 2 gt 2 (5) x ( t ) = v x 0 t (3) v y 2 ( y ) = v y 0 2 2 g Δ y (6) v x 2 ( x ) = v x 0 2 a y = g y 0 = 0 v 0 y = v 0 sin θ a x = 0 x 0 = 0 v 0 x = v 0 cos Discussed last time that the apex occurs when: v y = 0 . Then, given the initial velocity vector we can fnd the time to apex: 0 = (1) v y 0 gt t = v y 0 g = v 0 sin g
L11 F 2/5/10 Physics 2010 5 a y = g y 0 = 0

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## L11 - Remember:ThisWeek&amp;Upcoming...

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