ch 4 notes - 4.1 Acceleration a points in the same...

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4.1 Acceleration a points in the same direction as delta v velocity can change in magnitude and direction a(parallel) is the piece of the acceleration vector that changes the speed a(perpendicular) is the piece of the acceleration that causes the velocity to change direction 4.2 Two-Dimensional Kinematics r=xi+yj v=lim(t-0)(triangle r)/(triangle t)=dx/dt i+dy/dt j the instantaneous velocity vector v is tangent to the trajectory v(x)=vcos(o) v(y)=vsin(o) tan(o)=v(y)/v(x) the instantaneous acceleration is a=lim(t-0) (delta v)/(delta t) a(x)=dv(x)/dt a(y)=dv(y)/dt x(f)=x(i)+v(ix)(delta t)+1/2(a(x))(delta t)^2 v(fx)=v(ix)+a(x)(delta t) y(f)=y(i)+v(iy)(delta t)+1/2(a(y))(t)^2 v(fy)=v(iy)+a(y)(t)^2 4.3 Projectile Motion a projectile is an object that moves in two dimensions under the influence of only gravity the start of a projectiles motion, be it thrown by hand or shot from a gun, is called the launch, and the angle theta of the initial velocity v(i) above the horizontal is called the launch angle v(ix)=v(i)cos(o) v(iy)=v(i)sin(o) a(x)=0 a(y)=-g the vertical component of acceleration a(y) is just the familiar -g of freefall, while the horizontal
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ch 4 notes - 4.1 Acceleration a points in the same...

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