Unit 3

Question 1

how do you factor a perfect cube trinomial?

Answer 1

SOAP
a³ + b³ = (a + b)(a² - ab + b²)
a³ - b³ = (a - b)(a² + ab + b²)

Question 2

General equation for projectile motion

Answer 2

h = 1/2 gt² + vt + s
v = initial velocity
s = initial height
g = gravity (sometimes it’s given to you as -16 but that is imperial not metric)
h = height after t seconds
If it gives you a polynomial just use logic

Question 3

if you get 3 points to make into a polynomial, what do you do?

Answer 3

1) convert all into f(x) = a²x + bx + c
2) use 2 of them to find c
3) plug c in and use the next one to find b
4) find a
5) plug them all in

Question 4

vertical motion model for dropped object

Answer 4

h = -1/2gt² + s
h = height in air after t seconds
g = gravity (sometimes given as -16 but that is not the metric system)
t = seconds after release
s = initial height when t=0