2-5 Worksheet Velocity-Time Graphs - Trunnell's Physics
[Pages:7]Physics P
Worksheet 2-5: Velocity-Time Graphs
Worksheet
2-5
Velocity-Time Graphs
Sketch velocity vs. time graphs corresponding to the following descriptions of the motion of an object. 1. The object is moving away from the origin at a
constant (steady) speed.
0
Velocity
2. The object is standing still.
Time 0
Velocity
Time
3. The object moves toward the origin at a steady speed for 10s, then stands still for 10 s.
0
Velocity
Time
4. The object moves away from the origin at a steady speed for 10s, reverses direction and moves back toward the origin at the same speed.
0
Velocity
Time
Physics P
Worksheet 2-5: Velocity-Time Graphs
Draw the velocity vs. time graph for an object whose motion produced the position vs. time graphs shown below. For each also give a written description of the motion.
position-time graph
5.
4
velocity-time graph
2
written description
Velocity (m/s)
Position (m)
3
1
2
0
12 34 5
1 -1
0
0 123 45
-2
Time (s)
Time (s)
6.
4
2
Velocity (m/s)
Position (m)
3
1
2
0
12 34 5
1 -1
0
0 123 45
-2
Time (s)
Time (s)
7.
4
2
Velocity (m/s)
Position (m)
3
1
2
0
12 34 5
1 -1
0
0 123 45
-2
Time (s)
8.
4
2
Time (s)
Position (m)
3
2
1
0 12345 Time (s)
Velocity (m/s)
1
0 12 34 5
-1
-2 Time (s)
Physics P
Worksheet 2-5: Velocity-Time Graphs
Draw a position vs. time graph for an object whose motion produced the velocity vs. time graphs shown below. For each also give a written description of the motion. In each case assume a starting position of x = 0.
velocity-time graph
9.
2
position-time graph
6
written description
Position (m)
Velocity (m/s)
4 1
2
0 12 34 5
-1
0 12 34 5
-2
-4
-2
10.
2
Time (s)
-6 Time (s)
6
Position (m)
Velocity (m/s)
4 1
2
0 12 34 5
-1
0 12 34 5
-2
-4
-2
11.
2
Time (s)
-6 Time (s)
6
Position (m)
Velocity (m/s)
4 1
2
0 12 34 5
-1
0 12 34 5
-2
-4
-2
12.
2
Time (s)
-6 Time (s)
6
Position (m)
Velocity (m/s)
4 1
2
0 12 34 5
-1
0 12 34 5
-2
-4
-2 Time (s)
-6 Time (s)
Physics P
Worksheet 2-5: Velocity-Time Graphs
13. While taking data you measure the speed of a laboratory cart. The data is shown below.
Time Speed
a) Make a graph of velocity vs. time.
(s) (m/s)
b) Determine the distance the cart
0.0 0
traveled from t = 2.0 to t = 4.0 s.
2.0 2.0
4.0 2.0
6.0 4.0
8.0 3.0
10.0 3.0
4
c) Determine the distance the cart
3
traveled from t = 0 to t = 10.0 s.
Velocity (m/s)
2
1
0 0 2 4 6 8 10
Time (s)
14. As Chris was driving home he noted his speed at various times and the data is shown
below.
Time Speed
a) Make a graph of velocity vs. time.
(min) (mi/hr)
b) Determine the distance Joe traveled
0.0
30.0
during the 75 min. trip.
15.0
40.0
30.0
50.0
45.0
50.0
60.0
60.0
75.0
40.0
60
50
Velocity (mi/hr)
40
30
20
10
0 0 15 30 45 60 75
Time (min)
Velocity
Velocity
Velocity
Velocity
Physics P
1.
0
Time
2.
0
Time
3.
0
Time
4.
0
Time
Velocity (m/s)
Velocity (m/s)
Velocity (m/s)
Worksheet 2-5: Velocity-Time Graphs
5.
2
1
0 01 2 3 4 5
-1
-2 Time (s)
The object moves at a constant velocity of 1 m/s. 6.
2
1
0 01 2 3 4 5
-1
-2 Time (s)
The object moves at 2 m/s for 1 s then at 0.5 m/s for the next 4 s. 7.
2
1
0 01 2 3 4 5
-1
-2 Time (s)
The object moves in the positive direction at 1 m/s for 2 s and then in the negative direction at 2 m/s for the next 2 s.
Position (m)
Position (m)
Velocity (m/s)
Physics P
8.
2
1
0 01 2 3 4 5
-1
-2 Time (s)
The object moves toward at 0.5 m/s for 2 s, is at rest for the next 1 s, then moves away at 1.5 m/s for the last 2 s. 9.
6
4
2
0 12 34 5
-2
-4
-6 Time (s)
The object moves in the negative direction at 1 m/s for 5 s. 10.
6
4
2
0 12 34 5
-2
-4
-6 Time (s)
The object moves away at 1 m/s for 2 s and then stops.
Position (m)
Position (m)
Worksheet 2-5: Velocity-Time Graphs
11.
6
4
2
0 12 34 5
-2
-4
-6 Time (s)
The object moves in the negative direction at 2 m/s for 3 s then in the positive direction at 1 m/s for 2 s. 12.
6
4
2
0 12 34 5
-2
-4
-6 Time (s)
The object move away at 2 m/s for 1 s, then slows to 1 m/s for 1 s, then remains at rest for 1 s, moves toward at 1 m/s for 1 s then continues at 2 m/s for then last second.
Velocity (mi/hr)
Velocity (m/s)
Physics P
13a)
4
3
2
1
0 2 4 6 8 10 Time (s)
13b) The area under the graph from t = 2 s to t = 4 s is (2 s)(2 m/s) = 4 m.
13c) The area under the graph from t = 0 s to t = 10 s is = 25 m.
14a)
60 50 40 30 20 10
0 15 30 45 60 75 Time (min)
14b) The area under the graph is 58.75 mi.
Worksheet 2-5: Velocity-Time Graphs
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