Last chapter Flashcards
Average value is
the integral over time
Average rate of change is
the slope of a secant line
Instantaneous rate of change is
the slope of a tangent line
How do you find displacement
integral from a to b of v(t)dt
OR
s(b) - s(a)
Total distance traveled is
absolute value integral from a to x1 of v(t)dt + absolute value integral from x1 to x2 of v(t)dt + etc etc etc
Given position, average velocity is
[s(b) - s(a)]/(b-a)
Given velocity, average velocity is
1/(b-a) of the integral from a to b of v(t)dt
How do you find average speed
1/(b-a) of the integral from a to b of the absolute value of v(t)dt
What is average acceleration
1/(b-a) of the integral from a to b of a(t)dt
OR
[v(b)-v(a)]/(b-a)
Speeding up velocity and acceleration have ____ signs
same
Slowing down velocity and acceleration have _____ signs
opposite
Moving toward origin if position and velocity have _____ signs
opposite
Moving away from origin if position and velocity have ______ sign
same
Base of the square
(top-bottom)^2
Diagonal of a square
[(rad2/2)(top - bottom)]^2
If rectangle base is 1/2 the height, the formula is
2(top - bottom)^2
Diameter of a semicircle
1/2pi [(top - bottom]/2)^2
Side of equilateral triangle
(rad3/4)(top - bottom)^2
Leg of isosceles right triangle `
1/2 (top - bottom) ^2
Hypotneuse of isosceles right triangle
1/2 [(top - bottom)/rad2]^2
In a shell model, if we are rotating around the x-axis you use a
dy model
In a shell model, if we are rotating around the y-axis you use a
dx-model
In a shell, if we are rotating around y=2, we would use
the dy model (ys)
In a shell, if we are rotating around x=3, we would use
the dx model (xs)
