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Unformatted text preview: Equations for Midterm 1
Physics 6A, Winter 2008 Vector Math For some vector r with components x and y: r = (x, y) Magnitude r = |r| = Angle = arctan x = r cos y = r sin r1 + r2 = (x1 + x2 , y1 + y2 ) Velocity and Acceleration Average velocity: v =
x t y x x2 + y 2 Displacement in case of constant velocity: x = x0 + vx t Average acceleration: a =
v t Velocity in case of constant acceleration: vx = vx0 + ax t
1 Displacement in case of constant acceleration: x = x0 + vx0 t + 2 ax t2 2 2 Velocity, acceleration, and displacement: vx = vx0 + 2ax (x - x0 ) Relative velocity: Velocity of object B with respect to point/object A: vB|A Velocity of object C with respect to point/object B: vC|B Velocity of object C with respect to point/object A: vC|A = vC|B + vB|A Projectile motion: for initial velocity v0 at some angle 0 : Horizontal range R = arad =
2 vc R 2 v0 sin 20 g Uniform Circular Motion: constant speed vc in a circle of radius R: 1 ...
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- Winter '07