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, you need to understand how an object's velocity changes with time when it undergoes uniform acceleration.
Here are the steps to calculate the velocity-time graph:
1. Determine the initial velocity (u) of the object. Since the body is at rest, the initial velocity will be 0 m/s.
2. Determine the acceleration (a) of the object. If the problem statement provides the value, you can directly use it. Otherwise, you need to find it from the given information or equations related to the problem.
3. Calculate the time (t) taken to reach a certain velocity. This can be calculated using the equation: t = (v - u) / a, where v is the final velocity.
4. Decide on a range of time values for which you want to plot the velocity-time graph. This could be from the initial time when acceleration starts till the time when the desired final velocity is reached.
5. For each time value within the chosen range, calculate the corresponding velocity. Use the equation: v = u + at, where v is the velocity at time t, u is the initial velocity, a is the acceleration, and t is the time.
6. Plot the calculated velocity values on the y-axis of the graph against their corresponding time values on the x-axis.
7. The resulting plot will give you the velocity-time graph of the body undergoing uniform acceleration.
Remember, if the acceleration is constant, the velocity-time graph will be a straight line. The slope of the line represents the acceleration, while the y-intercept represents the initial velocity.
Keep in mind that without specific values for acceleration or final velocity, it's not possible to provide an exact velocity-time graph.