If you and your friend ride a bicycle on the road, you will notice that at different times, the both bicycle are found at different positions. Note down five positions at five time intervals for each.
a) Plot Position Time Graph for Uniform Motion.
b) Plot Position Time Graph for Non Uniform Motion.
c) Calculate Velocity from Position Time Graph.
d) Calculate Distance travelled by you and your friend in 10 Minutes.
e) Examine whose speed is more?
a) Plot Position Time Graph for Uniform Motion.
b) Plot Position Time Graph for Non Uniform Motion.
c) Calculate Velocity from Position Time Graph.
d) Calculate Distance travelled by you and your friend in 10 Minutes.
e) Examine whose speed is more?
Answers & Comments
To plot a position-time graph for uniform motion, you will need to choose a starting position and time, and then record the position of the motorbike at regular time intervals as it moves at a constant speed.
• For example, you might record the position of Puneet's motorbike at time intervals of 1 minute for a total of 10 minutes. If Puneet's motorbike starts at position 0 and moves at a constant speed of 20 meters per minute, the position-time graph would look like this:
Time (minutes) | Position (meters)
1 | 20
2140
3160
4180
5100
61120
71140
8160
9|180
10 | 200
To plot a position-time graph for non-uniform motion, you will need to record the position of the motorbike at irregular time intervals, as the speed of the motorbike is changing. For example, you might record the position of Puneet's friend's motorbike at time intervals of 1 minute for the first 5 minutes, and then at time intervals of 2 minutes for the next 5 minutes. If Puneet's friend's motorbike starts at position 0 and moves at a speed of 20 meters per minute for the first 5 minutes, and then slows down to a speed of 10 meters per minute for the next 5 minutes
To calculate the velocity from a position-time graph, you can use the formula velocity = (distance traveled) / (time taken). For example, if Puneet's motorbike travels a distance of 200 meters in 10 minutes, its velocity would be 200 meters / 10 minutes = 20 meters per minute. If Puneet's friend's motorbike travels a distance of 200 meters in 14 minutes, its velocity would be 200 meters / 14 minutes = 14.29 meters per minute.
• To calculate the distance traveled by Puneet and his friend in 10 minutes, you can simply look at the position of their motorbikes on the position-time graph at the 10-minute mark. Puneet's motorbike will have traveled 200 meters in 10 minutes, and Puneet's friend's motorbike will have traveled 160 meters in 10 minutes.Based on the position-time graphs and the calculated velocities, Puneet's motorbike is traveling at a higher speed than Puneet's friend's motorbike.
Explanation:
To plot a position-time graph for uniform motion, you will need to choose a starting position and time, and then record the position of the motorbike at regular time intervals as it moves at a constant speed.
• For example, you might record the position of Puneet's motorbike at time intervals of 1 minute for a total of 10 minutes. If Puneet's motorbike starts at position O and moves at a constant speed of 20 meters per minute, the position-time graph would look like this:
Time (minutes) | Position (meters)
1 | 20
2।140
3।160
4।180
5।100
6|120
7।140
8|60
9।80
10 | 200
Time (minutes) | Position (meters)
1120
2140
3|60
4180
5 | 100
6 | 120
81140
10 | 160
12 | 180
14 | 200