Calculate the velocity time graph of a body at rest is given an initial uniform acceleration .
To calculate the velocity-time graph of a body at rest with an initial uniform acceleration, we need to understand the relationship between acceleration, velocity, and time.
The acceleration-time graph represents the change in acceleration over time. Since the body is at rest, the initial acceleration will be zero.
The velocity-time graph represents the change in velocity over time. To find the graph, follow these steps:
1. Start with an acceleration-time graph with an initial uniform acceleration of zero. This means the graph will be a straight line along the x-axis.
2. Since the body is at rest, the velocity at the initial time (t=0) is also zero. Therefore, plot a point at the origin (0,0) on the velocity-time graph.
3. As time progresses, the body's acceleration remains zero, which means the velocity remains constant. This results in a straight line parallel to the x-axis on the velocity-time graph. The position of this line on the y-axis will depend on the initial velocity of the body.
So, in summary, the velocity-time graph of a body at rest with an initial uniform acceleration will be a straight line parallel to the x-axis, representing zero change in velocity over time. The position of this line on the y-axis will depend on the initial velocity of the body.