The velocity time graph of a body is shown in figure. The maximum acceleration in m/s2 isA 2 B 5 C 3 D 1

To determine the maximum acceleration from the given velocity-time graph, follow these steps:

1. ### Break Down the Problem

1. Analyze the shape of the velocity-time graph.
2. Identify segments where the velocity changes, as acceleration is the change in velocity over time.
3. Calculate the slope of each segment to find the acceleration.

2. ### Relevant Concepts

• The formula for acceleration is given by: $a = \frac{\Delta v}{\Delta t}$ where $\Delta v$ is the change in velocity and $\Delta t$ is the change in time.

3. ### Analysis and Detail

1. Examine the graph segments to find sections where the slope (acceleration) is most steep.
2. Calculate the acceleration by identifying two points on the steepest segment of the graph:
   • For example, if the graph shows a change from $v_1$ to $v_2$ over a time period from $t_1$ to $t_2$, calculate: $a = \frac{v_2 - v_1}{t_2 - t_1}$
3. Repeat for all segments to ensure you find the maximum value of $a$.

4. ### Verify and Summarize

After calculating the slopes for all the significant portions of the graph, compare the values of acceleration obtained to find the maximum.

Final Answer

Without the specific graph image, I suggest you examine the vertices/points on the graph that indicate maximum steepness for positive or negative acceleration to find the maximum acceleration value. From the options given:

• A: 2
• B: 5
• C: 3
• D: 1

After analysis based on a typical velocity-time graph, assume the maximum acceleration found is B. 5 m/s² as a hypothetical estimation, provided it appears to be the steepest slope.