Particle Motion

Question 1

Velocity

Answer 1

S’(t)=v(t)

Question 2

Acceleration

Answer 2

S”(t)=v’(t)=a(t)

Question 3

The slope on position, s(t)

Answer 3

The slow represents velocity, v(t)

Question 4

The slope on velocity, v(t)

Answer 4

The slope represents acceleration, a(t)

Question 5

Speed

Answer 5

|v(t)|

Question 6

Instantaneous velocity

Answer 6

Velocity at the moment

Question 7

Initially

Answer 7

T=0

Question 8

At rest

Answer 8

V(t)

Question 9

At the origin

Answer 9

s(t)=0

Question 10

Particle moves up or right

Answer 10

v(t)>0

Question 11

Particle moves down or left

Answer 11

v(t)

Question 12

Particle is speeding up

Answer 12

v(t) and a(t) have same signs

Question 13

Particle is slowing down

Answer 13

v(t) and a(t) have different signs

Question 14

Particle changes direction

Answer 14

v(t) changes sign

Question 15

Velocity is increasing

Answer 15

a(t)>0

Question 16

Velocity is decreasing

Answer 16

a(t)

Question 17

Displacement on the interval (a,b)

Answer 17

Change in position, s(b)-s(a)

Question 18

Average velocity (given s(t))

Answer 18

s(b)-s(a)/b-a

Question 19

Average acceleration (given s(t))

Answer 19

S’(b)-s’(a)/b-a

Question 20

a Average acceleration (given v(t))

Answer 20

v(b)-v(a)/b-a

Question 21

Position

Answer 21

s(t)