Test1

Question 1

Quadratic Formula

Answer 1

Question 2

SOH-CAH-TOA

Answer 2

Question 3

Unit Circle

Answer 3

Question 4

Degrees to Radians

Answer 4

Question 5

Radians to Degrees

Answer 5

Question 6

Pythagorean Theorem

Answer 6

a²+b²=c²

Question 7

Vectors

Answer 7

A 2D vector is similar to a point on a graph, but represents a direction and a magnitude.

Question 8

Adding and Subtracting Vectors

Answer 8

Add or Subtract

all x values

all y values

all z values

to get the new vector.

Question 9

Multiplying Vectors

Answer 9

Multiply each component of the vector by the value given.

ex. the vector(2,5) multiplied by 2 becomes

(4,10)

Question 10

Calculating the Magnitude of a Vector

Answer 10

Use the Pythagorean Theorem

a²+b²=c²

or

magnitude =√ a²+b²

magnitude =√ a²+b²⁺c²

Mathematicians place two vertical bars around a vector to denote its lenght |v|

Question 11

Normalizing Vectors

Answer 11

When a vector is normalized it retains its direction but its magnitude is recalculated so that it is of unit lenght (a length of 1).

N = v/|v| (divide each component of the vector, by the magnitude of the vector)

Question 12

Resolving Vectors

Question 13

The Dot Product

Answer 13

gives the angle between two vectors

u*v = u_x*v_x+u_y*v_y (not an angle)

The easiest way to get an angle is to normalize u and v and multiply them together

Question 14

Time

Answer 14

Measured in Seconds

Question 15

Distance

Answer 15

d - measured in meters

Question 16

Mass

Answer 16

m -measured in kilograms

Question 17

Position

Answer 17

measured from the center of mass

Question 18

Velocity

Answer 18

v=a*t+v₀

v=d/t

(a dropped object) v²=v₀²+2ad

Question 19

Acceleration

Answer 19

Question 20

Force

Answer 20

Question 21

30/60/90 Triangle

Answer 21

Question 22

Gravity Constant Acceleration

Answer 22

9.8m/s²