ppt

1. Distance vs. Time
Analysis of a Distance vs. Time
Graph

2. Determining the motion on a
D vs. T Graph
Where did the object start?
Which direction did it go?
Where did the object stop?
Is the motion uniform (constant)?
Is the motion non-uniform
(changing)?
Can you tell which is faster? (if 2 or
more objects are present)

3. d(m)
t(s)
A
Object A is stationary at some
positive position from the
origin.

4. d(m)
t(s)
B
Object B moves
away from origin
with a constant
positive velocity.

5. d(m)
t(s)
C
Object C start at some
positive position and moves
away from the origin at a
constant positive velocity.

6. d(m)
t(s)
D
Object D moves away from
the origin at a constant
positive velocity (slower
than previous examples).

7. d(m)
t(s)
E
Object E start at some
positive position and
walks toward the origin
with a constant velocity.

8. Distance vs. Time Graphs with
Non-Uniform Motion
Changing
velocity
(increasing)
Changing
velocity
(decreasing)

9. Slope of a D vs. T Graph
Rise/run
On a distance vs. time graph
–Rise = df – di = Δd
–Run = tf – ti = Δt
Slope = Δd / Δt =…
Average Velocity (Vave)

10. Using slope to predict motion
On a distance vs. time graph
–If slope is 0, then velocity is 0.
–If slope is positive, velocity is
constant in positive direction.
–If slope is negative, velocity is
constant in the opposite direction.
–If slope is changing, velocity is
changing.(i.e. you are
accelerating)

11. d(m)
t(s)
A
B
D
C
Slower than
B or C.
Same
velocity as
B. V=0
Constant
+V

12. East
High St.
West
E
A
B
D
C

13. Finding position
Vavg = Δd / Δt
Vavg = (df –di)/Δt
df = di + Vavg Δt
(df = final position)