Download presentation
Presentation is loading. Please wait.
1
Graphs of Motion
2
For Today (b) carry out average speed and acceleration calculations.
(c) apply graphical methods to represent displacement, speed, velocity and acceleration; (d) determine velocity from the gradient of a displacement against time graph; (e) determine displacement from the area under a velocity against time graph;
3
A reminder Average speed = distance travelled time taken d t S x
4
Distance against time graphs
5
Distance/time graph Distance /m 2 4 6 8 10 12 14 16 18 20 Time (run 1)/s 3.39 5.25 7.32 10.08 11.99 14.63 16.62 19.29 20.87 23.12 Time (run 2)/s 1.38 2.27 3.42 4.53 5.54 7.01 7.87 9.35 10.31 9.75 Time (run 3)/s 3.07 4.79 6.00 6.93 7.69 8.14 8.81 9.32 9.73 9.62
6
No movement? distance time
7
No movement distance time
8
Constant speed? distance time
9
Constant speed distance time
10
Constant speed distance The gradient of this graph gives the speed
time
11
How would the graph look different for a faster constant speed?
distance time
12
Constant speed fast distance time
13
How would the graph look different for a slower constant speed?
fast How would the graph look different for a slower constant speed? distance time
14
Constant speed fast distance slow time
15
Getting faster? (accelerating)
distance time
16
Getting faster (accelerating)
distance time
17
Examples distance time
18
A car accelerating from rest and then hitting a wall
distance time
19
A car accelerating from stop and then hitting a wall
distance time
20
Speed against time graphs
21
No movement? speed time
22
No movement speed time
23
Constant speed? speed time
24
Constant speed speed time
25
How would the graph look different for a faster constant speed?
time
26
Constant speed speed fast time
27
How would the graph look different for a slower constant speed?
fast time
28
Constant speed speed fast slow time
29
Getting faster? (accelerating)
speed time
30
Getting faster? (accelerating)
speed Constant acceleration time
31
Getting faster? (accelerating)
speed The gradient of this graph gives the acceleration time
32
Getting faster? (accelerating)
v The gradient of this graph gives the acceleration speed a = v – u t (v= final speed, u = initial speed) u time
33
Getting faster? (accelerating)
speed The area under the graph gives the distance travelled time
34
Example: speed time
35
A dog falling from a tall building (no air resistance)
speed time
36
A dog falling from a tall building (no air resistance)
speed time
37
A dog falling from a tall building (no air resistance)
speed Area = height of building time
38
Be careful! speed time distance time
39
No movement speed time distance time
40
Constant speed speed time distance time Area = distance travelled
41
Constant acceleration
speed time Gradient = acceleration a = (v-u)/t distance time Area = distance travelled
Similar presentations
