Constant Velocity

s

m2

s

m2

The position increases by 2 meters every second.

The position decreases by 2 meters every second.

Example

An object starts at a position of -5 meters and travels with a constant velocity of 3m/s for 5 seconds

Diagram – Motion MapLike the washers in the hallway.

v vvvvv

t = 2s

x = 1m

t = 3s

x = 4m

t = 4s

x = 7m

t = 5s

x = 10m

t = 0s

x = -5m

t = 1s

x = -2m

Numericalt

(s)

x

(m)

0

1

2

3

4

5

-5

-2

7

4

1

10

t (s)

x (m)

54320

1

-10

-5

5

10

t (s)

v (m/s)

54320

1

-10

-5

5

10

AlgebraicGraphical

bmxy mtx s

m 5)3(

oxvtx

3m/s

3m/s

Δx = 6m

Δt = 2s

run

riseslope

s

m

s

m3

2

6

t

xv

areaxxx o position in change nt displaceme

Area = Δx

time

distancespeed no direction

Velocity – The rate at which the position changes.

t

xv

+/- sign gives direction

Displacement – The change in position.

12 xxx

t

xv

vtxx 0

12 xxx

v = velocity (m/s)

t = time (s)

x = position (m)

Δx = x2 – x1 (m)