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Graphical representation

Arrow tipped line segment

Algebraic representation

Vector represented by an italicized letter in bold

resultant vector

the sum of two vectors is called_

Pythagorean relationship

sum of the squares of the two sides of a right triangle is equal to the square of th hypotenuse

direction

A point toward something, determined by its orientation and sense.

Vector decomposition

Process of breaking a vector into its components

components

parts of a vector, one is parallel to the x-axis and the other one is parallel to the y-axis

vector

a displacement distinguished by magnitude and direction but not by location.

Magnitude...

... of a vector is always a positive quantity

displacement

A change in position (delta p).

Scalar Quantity

a measure of magnitude

Velocity

a speed in a particular direction.

Origin

Center of a coordinate system is

X/V

cos ?

Y/V

sin ?

Y/X

tan ?

v

The index of refraction n is defined as , where c is the speed of light in air, and _______ is the speed of light in a material.

3.2 km/h, 64° N of W

A swimmer jumps into a river and swims straight north to the other side at 1.…

180 m/s, 49° S of E

The president's airplane, Air Force One, flies at 2…

27 km/h, 34° S of E

A blimp is travelling at a velocity of …

99 km/h, 4.5° N of E

An airplane pilot checks the instruments and finds that the velocity of the plane relative to the air is 32…

West = 7.5 m/s²

14. A racing car is accelerating at 22 m/s² 70° north of west. Find the acceleration of the car in the north direction and in the west direction.

30 cm, 80°

A spider starts walking from the center of a piece of paper and walks 10 cm at 115° and then walks 23 cm at 70° before resting. What is the spider's total displacement …

Distance

a path taken and always a positive number

work

a force acting upon an object to cause a displacement. (key words: force, displacement, and cause)

area

decreases

volume

Spcae occupied by an object

acceleration

(physics) a rate of change of velocity

temperature

State function, intensive property, macroscopic property, tells us direction of heat flow

momentum

(p) vector quantity describing the quantity of motion or inertia in motion. Recognizes that both mass and velocity have a part in the motion of an object and is proportional to both (is zero …

pressure

_______ is the measure of force exerted on a unit area of surface

vector

force ex. weight

mass

a body of coherent matter, usually of indefinite shape and often of considerable size

Speed

Units: cm/s, m/s, mi/hr, km/s ...

Energy

(physics) the capacity of a physical system to do work

time

A measure of change between two events or moments.

magnetic field

a vector force field that surrounds any magnetic material

Head-to-Tail Method

Method used to solve vectors graphically

Component Method

Mathematical method for solving vectors that are not right triangles

Scalar Quantities

Speed, Distance, Mass, Time, Temperature

Vector Quantities

Velocity, Acceleration, Displacement, Weight, Force

Resultant

A vector sum (includes a magnitude and a direction)

add

When 2 vectors are going in the same direction, you _______ them to find the resultant

subtract

when 2 vectors are going in opposite directions, you _______ them to find the resultant

Equilibrant

A force that causes an object to be in equilibrium

Tail

The direction of a vector is often expressed as an angle of rotation of the vector about its _______ from south, east, north, west

The Length of the Arrow

The magnitude of a vector in a scaled vector diagram is depicted by _______ __ _______

The Pythagorean Theorem

a^2 + b^2 = c^2

Sine Function

relates the measure of an acute angle to the ratio of the length of the side opposite the angle to the length of the hypotenuse

Cosine Function

relates the measure of an acute angle to the ratio of the length of the side adjacent the angle to the length of the hypotenuse

Tangent Function

relates the measure of an angle to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle

Resultant Velocity

If two or more velocity vectors are added, then the result is a _______

Resultant Force

If two or more force vectors are added, then the result is a_______

normal force

a perpendicular contact force exerted by a surface on another object is a(n) _______.

Air Resistance Force

Special type of frictional force

Tension Force

Force that is transmitted through a string

Frictional Force

Force exerted by a surface

Applied Force

A force that is applied to an object

Gravitational Force

(physics) the force of attraction between all masses in the universe

Spring Force

The force exerted by a compressed or stretched spring