Linear Motion

How to find acceleration?

1) Plug initial equation into Y1

2) Plug in derivative of initial equation into Y2

3) Go to 2nd Graph

4) Y2 equals acceleration

How to find the total distance of a particle?

1) Plug B and A values into integral

2)Do absolute value of |v(t)dt"|

-Absolute value:

How to know if the speed of a particle is increasing or decreasing at a specific point?

Decreasing: v(t) and a(t) have opposite signs( brake and gas can’t be applied at the same time)

Increasing: v(t) and a(t) have the same signs

How to know when a particle changes directions?

1) State v(t)=0

2) Find where v(t) changes signs, 2nd trace for 0’s

How to find the position of particle at t= blank

1) x(blank)=x(initial) + integral(with blank and initial in b and a values) times v(t)dt

When is the particle furthest to the right/left?

greatest distance between particle and origin?

1)Indicates critical values

2) use fundamental theorem of calc

Average value