Sketch the velocity vs. time graph for an object that:
• from 0 to 2 seconds has moved with constant velocity of 3 m/s
• from 2 to 5 seconds was at rest
• from 5 to 10 seconds increased its velocity, reaching 5 m/s at t =10 s.
Could you please help in describing what each line would look like?
To sketch the velocity vs. time graph for the given scenario, we'll break it down into three distinct time intervals: 0 to 2 seconds, 2 to 5 seconds, and 5 to 10 seconds.
1. 0 to 2 seconds:
During this time interval, the object has moved with a constant velocity of 3 m/s. Since velocity is constant, the velocity vs. time graph will be a straight horizontal line at a height of 3 m/s.
2. 2 to 5 seconds:
For this time interval, the object is at rest, meaning its velocity is 0 m/s. Therefore, the velocity vs. time graph will be a flat line at the x-axis (0 m/s) during this period.
3. 5 to 10 seconds:
During this time interval, the object increases its velocity, reaching 5 m/s at t = 10 s. To represent this, the velocity vs. time graph will start at 0 m/s throughout the 5th second, and gradually increase until it reaches 5 m/s at 10 seconds. The graph will be a straight diagonal line slanting upwards from t = 5 to t = 10 s.
To summarize:
- At 0 to 2 seconds, the graph will be a straight horizontal line at 3 m/s.
- At 2 to 5 seconds, the graph will be a flat line at 0 m/s.
- At 5 to 10 seconds, the graph will be a straight diagonal line starting from 0 m/s at t = 5 s and reaching 5 m/s at t = 10 s.