Position, Velocity, Acceleration

Question 0

Total distance

Answer 0

Integration of absolute value of velocity function between the bounds.

Question 1

Speed

Answer 1

Absolute value of velocity function. Speed does not have direction.

Question 2

Total displacement

Answer 2

The integration of velocity function between two bounds.

Question 3

Speeding up.

Decreasing speed or velocity.

Answer 3

Both velocity and acceleration have same sign.

Question 4

Slowing down

Decreasing speed and velocity

Answer 4

The velocity and acceptation have different signs.

Question 5

Projectile functions.

Maximum Height or reaching highest point.

Answer 5

When velocity equal to zero or derivative of position function equal to zero.

Question 6

Acceleration

Answer 6

1st derivative of velocity function

Or 2nd derivative of position function.

Question 7

Velocity function

Answer 7

Derivative of position function.

Integration of acceleration function.

Question 8

Initial position (S0)

Answer 8

Position when time equal to zero.

Question 9

Initial velocity (V0)

Answer 9

Velocity when time equal to zero.

Question 10

Average velocity

Answer 10

S(b)-S(a)
----------
b-a
Or 
Integration of velocity between bounds (a,b) and divide by b-a

Question 11

Average acceleration

Answer 11

b-a