A graph of the instantaneous velocity of an object over a specified period of time

Time is independent (x-axis)Velocity is dependent (y-axis)

Remember, velocity details magnitude (how fast) and direction (which way)

Time vs. Position for a Moving Object

0

1

2

3

4

5

6

0 1 2 3 4 5 6

Time (sec)

Po

siti

on

(m

)

Time vs. Position for a Moving Object

0

1

2

3

4

5

6

0 1 2 3 4 5 6

Time (sec)

Po

siti

on

(m

)

Units for the slope of time vs. velocity graph(m/s)/s → m/s2

Slope of t vs. v graph tells instantaneous acceleration

Straight lines on t vs. v graph = uniform (constant) acceleration

x

y

run

riseslope

""

""

Slope of t vs. v graph = acceleration

Area Under t vs. v graph = displacement

16 m

/s

4 s

A = 32 m

2

hbA

2

416 sA s

m

Time vs. Veloicty for Moving Object

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0 100 200 300 400 500 600

Time (sec)

Ve

loic

ty (

m/s

)

Instantaneous Velocity Velocity of an object at a specific moment

Average Velocity Avg velocity of an object over time

Instantaneous Acceleration How much object’s velocity is changing at

a specific moment Displacement

Change in position of an object over time