•Distance vs. DisplacementDistance the total path traveled. no direction (scalar)

Displacement from the very beginning to the very end.

includes direction so it is a vector

AE

DC

B

d = A + B + C + D + E

x = resultant

symbol for distance

symbol for displacement(sometimes y)

R

•Speed vs. VelocitySpeed (s or v) distance divided by time

(no direction, scalar)

Velocity (v) displacement divided by time (vector)

xv

t

measured in

second

meters m

s

equation

Heather and Matt walk with an average velocity of 0.98 m/s eastward. If it takes them 34 min to walk to the store, what is their displacement?

Givens:

t = 34 minv = 0.98 m/s

Step 2: Write out givens.

Step 5: Substitute.

Step 4: Write out equation.

Step 3: Convert units if necessary

Step 6: Solve.

602040

1min

sx s

x = v t

x = (0.98)(2040)

x = 2000 m

Step 1: Draw a picture.

•Acceleration change in velocity How fast you change how fast you’re going

can change two ways: either change the magnitude or the direction.

5 total variables

x – displacementvi – initial velocityvf – final velocitya – accelerationt – time

3 equations, with 4 variables

vf

x

t

21

2ix v t at

f iv v at

2 2 2f iv v ax

symbol is “a”

unit is m/s2

A sailboat starts from rest and accelerates at a rate of 0.21 m/s2 over a distance of 280 m.

b. find the time it takes the boat to travel this distance.

a. find the magnitude of the boat’s final velocity