1. Days
UNIT 1 Motion Graphs x t
Lyzinski Physics

2. Day #7 * a-t graphs * “THE MAP”

3. x-t ‘s x t UNIFORM Velocity Speed increases as slope increases x t
Object at REST x t
Moving forward or backward x t
x-t ‘s
Object Positively Accelerating x t x t
Changing Direction x t
Object Speeding up
Object Negatively Accelerating

4. v-t ‘s UNIFORM Positive (+) Acceleration
Acceleration increases as slope increases v t v t
Changing Direction
v-t ‘s
UNIFORM Velocity
(no acceleration) v t v t
Object at REST
UNIFORM Negative (-) Acceleration

5. a-t ‘s UNIFORM Acceleration a a t t UNIFORM Velocity OR
An Object at REST

6. Slope of the tangent to the curve at a point
Graph Re-Cap
Type of graph
Slope of a line segment
Slope of the tangent to the curve at a point
x-t
v-t
a-t
Average velocity Instantaneous Velocity
Average acceleration Instantaneous acceleration
JERK!!!!!!!!!!! (no jerks on test )
x-t
Tells you nothing
Area under curve
v-t
Displacement (Dx)
a-t
Change in velocity (Dv)

7. a-t graphs Slopes???? No jerks on test  a (m/s2) t (sec) t0 t1
The area under the curve between any two times is the CHANGE in VELOCITY during that time period.
No jerks on test 

8. THE MAP!!!!
x-t
v-t
a-t
SLOPE
AREA Dx Dv
“3 towns, 4 roads”

9. Open to in your Unit 1 packet 51) 2)
a = 6 m/s2
Dv = area = 4 (6) + (2.5 * -9) = 1.5 m/s

10. Open to in your Unit 1 packet 53) 4)
Dv = area = 2.5 (6) = 15 m/s  Dv = v2 – v1  v1 = (-5) – 15 = -20 m/s
Either at rest or at a constant velocity, const + accel, const – accel, non-constant – accel, non-constant + accel

11. Day # FREE-FALL LAB

12. Day #9 Drawing Physics Graphs from word-problem scenarios

16. Day #10 Given x-t or v-t graphs, draw the corresponding v-t or x-t (or even a-t) graph.

17. Take out your Green Handout

21. Drawing an x-t from a v-t
Find the area under the curve in each interval to get the displacement in each interval
v (km/hr)
4m m m m m
0m m m 8 4 -4 -8
t (hr)
Use these displacements (making sure to start at xi, which should be given) to find the pts on the d-t curve
x (km) 80 60 40 20
“Connect the dots” and then CHECK IT!!!!
t (hr)

22. Drawing a v-t from an x-t
x (yd)
Find the slope of each “Non-curved” interval 40 30 20 10
-10
-20
6 yd/min yd/min
0 yd/min
t (min)
+ accel. region (+ slope)
v (yd/min)
Plot these slopes (which are average velocities) 6 4 2 -2 -4 -6
For curved d-t regions, draw a sloped segment on the v-t
t (min)
This only works if the accelerations on the x-t graph are assumed to be constant