The velocity-time curve is shown in Fig.The corresponding acceleration time curve will beABCDPrevious

To determine the acceleration-time curve from the velocity-time curve, you can follow these general steps:

1. Identify Key Features of the Velocity-Time Curve: Look for segments where the velocity is constant, increasing, or decreasing, as these will indicate different types of acceleration.

2. Calculate the Acceleration:

   • Acceleration is defined as the change in velocity over the change in time. Mathematically, this is represented as: $a(t) = \frac{dv}{dt}$
   • For segments where the velocity is constant, the acceleration will be zero.
   • For segments with a constant increase or decrease in velocity, the acceleration will be equal to the slope of that segment.

3. Sketch the Acceleration-Time Curve: Based on the calculations and observations from the velocity-time curve, sketch the corresponding acceleration-time curve.

If possible to provide more specific details or the curve in Fig., I could refine the instructions and analysis better. Otherwise, please follow the steps mentioned to analyze the curve you're working with.