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Projectile 2D

# Projectile 2D - 2D 1 Motion in 2D Velocity and acceleration...

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2D - 1 Motion in 2D Velocity and acceleration are vectors . They can have any direction. When we are considering motion in the xy plane, these vectors can point anywhere in the plane. A common example of motion in 2D is. .. Projectile motion Consider a projectile fired from a cannon, with an initial velocity 0 v G with a direction of θ above the horizontal. y 0x 0 0y 0 vv c o s s i n = θ = θ Acceleration is a vector, and can have any direction. But in the special case of acceleration due solely to gravity , the acceleration is always straight down . Review of 1D motion: vx a, v, tt ∆∆ == special case: a = constant From these 3 equations (above), we can derive (a) o vv a =+ t o ) (b) 2 oo xx v t( 1 / 2 ) a t =+ + (c) 22 o vv2 a ( x x (d) o v 2 + = x o , v o = initial position, initial velocity x, v = position, velocity at time t y x a x = 0 a y = –g a v o x v x θ v y 10/16/2006 © University of Colorado at Boulder

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2D - 2 Suppose that a = 0 . Then 0 x v v constant t == = 0 00 0 xx v, v t x x , x x t == = 0 0 v t + 2 1 2 position if a = constant how much more (a > 0) or less (a < 0) distance you go if a 0 xxv t a t =+ + ±²³²´ ±³´ End of 1D motion review.
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Projectile 2D - 2D 1 Motion in 2D Velocity and acceleration...

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