Calculus Relationships in Kinematics

The first derivative of the position function is the ______ function.

The second derivative of the position function is the ________ function.

The anti-derivative of the velocity function is the ________ function.

Which options represent the POSITION function?

(check all that apply)

Which options represent the VELOCITY function?

(check all that apply)

Which options represent the ACCELERATION function?

(check all that apply)

To find the acceleration function, you need the

• first derivative of the position function

• second derivative of the position function

• anti-derivative of the velocity function

• anti-derivative of the position function

To find the displacement or distance function, you need the

• anti-derivative of the acceleration function

• second derivative of the velocity function

• first derivative of the velocity function

• second derivative of the acceleration function

When is the particle at rest?

• when acceleration equals 0

• when position equals 0

• when velocity equals 0

• when velocity function has a turning point

When is the particle slowing down?

• only when v<0 and a<0

• either v<0 and a>0 or v>0 and a<0

• only when a<0

• only when v<0