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One and two dimensional motion
Formulaspeed  s = d/t > 50 + 30 = 80 miles, 1+1 = 2h > 80 miles/2h = 40 mph  velocity  v = ∆x/t  average velocity  v avg = ∆x/∆t = xf − xi/tf − ti > 100 m in 10.61 s > xf = 100 m, xi = 0 m, tf = 10.61 s, ti = 0 s > v avg = 100 m  0 m / 10.61 s  0 s = 100/10.61 = 9.43 m/s 
Speed and Velocityspeed  the distance traveled per unit of time. Speed is a scalar, a quantity that is described by magnitude alone. Constant speed refers to a fixed distance per unit of time. Average speed includes the total distance and total time.  velocity  the displacement of an object per unit of time. Since displacement includes a direction, so does velocity. Speed with direction. Velocity is a vector a quantity that has both magnitude and direction.  vector  a quantity that has both magnitude and direction  reference frame  the position from which an event is observed  motion map  an image that represents the position, velocity, and acceleration of an object at onesecond intervals  scalar  a quantity that is described by magnitude alone  Motion and reference frame  All motion is relative. It depends on a reference frame. An object may appear to move faster or slower depending on the reference frame.  average velocity  The slope of a line changes when the velocity of an object changes > The steeper the slope, the greater the velocity. The average velocity will be different than any of the other. Any point on the line will give only an instantaneous velocity.  change in direction  A change in direction is represented when the line on a positiontime graph changes from a positive slope to a negative. slope or from a negative slope to a positive slope. A negative slope indicates an object moving towards the origin. A positive slope indicates an object moving away from the origin.  No motion  horizontal line  means object is not moving > The object’s position does not change  Motion  Displayed in a vector ! 
  Horizontal motion example
Displacement during constant acceleration
Accelerationpositive acceleration  an increase in velocity over time  negative acceleration  a decrease in velocity over time  acceleration  the rate at which velocity changes over time  constant  staying the same; unchanging  Positive acceleration  speeds up in the positive direction. slows down in the negative direction  Negative acceleration  slow down down in the positive direction. speeds up in the negative direction.  Slope  of the line on a velocity vs. time graph represents acceleration. Positive slope = acceleration, negative slope = negative acceleration 
  vectorsquadrant  a quarter of the coordinate plane  components  the two parts of a vector that are perpendicular to each other  resultant vector  the sum of two or more vectors  vector resolution  the process by which the components of a vector are determined  Properties of a vector  A vector is a quantity that has both magnitude and direction. Examples of vectors: Displacement, velocity, acceleration. Vectors are drawn using an arrow 
Sign of a componentThe sign of a component depends on the quadrant of the coordinate
system it is in.
Projectile Motionprojectile  an object that is set in motion following a path in which the only force acting on it is gravity.  inertia  the natural tendency of objects to resist a change in motion  projectile motion  the curved motion that results from the combination of an object’s horizontal inertia and the force due to gravity pulling the object downward. I.e. A ball rolling of the table, A player shooting a jump shot > Projectiles follow a parabolic path  parabolic  having the shape of a parabola  vectors  Vectors are used to describe motion in two dimensions. Vectors can be broken down into x and y components. The components of a vector are the two parts of a vector that are perpendicular to each other 

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