**air resistance**a frictional force that slows the motion of objects as they travel through the air; when solving basic physics problems, air resistance is assumed to be zero

**analytical method**the method of determining the magnitude and direction of a resultant vector using the Pythagorean theorem and trigonometric identities

**classical relativity**the study of relative velocities in situations where speeds are less than about 1% of the speed of light—that is, less than 3000 km/s

**commutative**

refers to the interchangeability of order in a function; vector addition is commutative because the order in which vectors are added together does not affect the final sum

**component (of a 2-d vector)**a piece of a vector that points in either the vertical or the horizontal direction; every 2-d vector can be expressed as a sum of two vertical and horizontal vector components

**direction (of a vector)**the orientation of a vector in space

**head (of a vector)**the end point of a vector; the location of the tip of the vector’s arrowhead; also referred to as the “tip”

**head-to-tail method**a method of adding vectors in which the tail of each vector is placed at the head of the previous vector

**kinematics**the study of motion without regard to mass or force

**magnitude (of a vector)**the length or size of a vector; magnitude is a scalar quantity

**motion**

displacement of an object as a function of time

**projectile**an object that travels through the air and experiences only acceleration due to gravity

**projectile motion**the motion of an object that is subject only to the acceleration of gravity

**range**the maximum horizontal distance that a projectile travels

**relative velocity**the velocity of an object as observed from a particular reference frame

**relativity**

the study of how different observers moving relative to each other measure the same phenomenon

**resultant**

the sum of two or more vectors

**resultant vector**the vector sum of two or more vectors

**scalar**

a quantity with magnitude but no direction

**tail**

the start point of a vector; opposite to the head or tip of the arrow

**trajectory**the path of a projectile through the air

**vector**a quantity that has both magnitude and direction; an arrow used to represent quantities with both magnitude and direction

**vector additionthe **

rules that apply to adding vectors togethe

**velocity**speed in a given direction

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