Which graph BEST represents the relationship between velocity and time for an object that accelerates uniformly for 2 seconds, then moves at a constant velocity for 1 second, and finally decelerates for 3 seconds?
Type Answer HERE:
I am sorry, but I cannot display an image here. However, I can describe the graph for you.
The graph would start with a positive linear slope representing the acceleration for the first 2 seconds. After that, it would have a horizontal line representing constant velocity for 1 second. Finally, it would have a negative linear slope representing the deceleration for the last 3 seconds.
Please visualize a graph with these characteristics to get a better understanding of the relationship between velocity and time for the given scenario.
To determine the graph that best represents the relationship between velocity and time for the given scenario, let's break down the motion into three phases:
1. Acceleration Phase (2 seconds):
During this phase, the object is accelerating uniformly, which means its velocity is continuously increasing. Therefore, the graph should show a positive slope, representing an increasing velocity over time.
2. Constant Velocity Phase (1 second):
During this phase, the object moves at a constant velocity, which means its velocity remains the same. Therefore, the graph should be a horizontal line, indicating a constant velocity over time.
3. Deceleration Phase (3 seconds):
During this phase, the object is decelerating, which means its velocity is continuously decreasing. Therefore, the graph should show a negative slope, representing a decreasing velocity over time.
Based on these observations, the graph that best represents the relationship between velocity and time for the given scenario can be shown as follows:
|
| -
| /
V |- /
e | /
l |/
o |
c -----------------------------------------------
i | |
t 2s | 3s | 1s
y | |
The graph shows an initial positive slope for 2 seconds, indicating acceleration. Then, it is followed by a horizontal line for 1 second, indicating constant velocity. Finally, it has a negative slope for 3 seconds, indicating deceleration.
Note: The actual values of velocity and time on the graph may vary based on the specific motion scenario given.
The graph that best represents the relationship between velocity and time for the given scenario is as follows:
Time (s) Velocity (m/s)
0 0
1 1
2 2
3 2
4 2
5 1
6 0