A body starts from rest at position O and accelerates uniformly to a position A then continues moving at a constant velocity for some time to position B before coming to rest a C
Show the movement of the body graphically
Indicate
★The uniform acceleration of the body
★It
is impossible for me to show the movement of the body graphically as I am a text-based AI. However, I can explain the graphical representation of the movement in words.
On a distance-time graph, the movement of the body can be represented as follows:
- Initially, the body starts from rest at position O. This would be shown as a point on the graph at time t=0 and distance d=0.
- The body then accelerates uniformly from position O to position A. The acceleration is represented by a straight line on the graph with a positive slope. The steeper the slope, the greater the acceleration. The time taken to reach position A depends on the acceleration of the body.
- At position A, the body reaches a constant velocity and continues moving at this velocity for some time. The velocity is represented by a horizontal line on the graph, indicating a constant rate of change of distance with time.
- After some time, the body comes to rest at position C. This is represented by another point on the graph, at a certain distance and time.
- The uniform acceleration of the body can be determined by measuring the slope of the line between positions O and A on the graph. The slope represents the change in distance per unit time, and thus the acceleration.
Note: The graph would only show the general shape of the movement and may not be to scale or accurately represent the exact distances and times involved.
To represent the movement of the body graphically, we can use a position-time graph. Let's begin by plotting the graph step by step:
Step 1: The body starts from rest at position O.
At time t = 0, the body is at position O. Therefore, we start by plotting a point at the origin (0, O).
Step 2: The body accelerates uniformly to position A.
During this phase, the body experiences uniform acceleration. This means that the slope of the graph will be a straight line.
Step 3: The body moves at a constant velocity from position A to position B.
Once the body reaches position A, it continues to move at a constant velocity. This means that the graph will be a straight line parallel to the horizontal axis.
Step 4: The body comes to rest at position C.
Finally, the body comes to a stop at position C. This indicates that the velocity of the body becomes zero.
To summarize,
★ The uniform acceleration of the body is represented by a straight line with a non-zero slope.
★ The constant velocity of the body is represented by a straight line parallel to the horizontal axis.
★ The body coming to rest is indicated by the line reaching position C and becoming horizontal.
Please note that without specific values or equations, we can only provide a general representation of the graphical movement.