Question

If the velocity-time graph has the shape AMB (where M is a peak), what would be the shape of the corresponding acceleration-time graph ? 

• A. A
• B. B
• C. C
• D. D

Hint:

The slope of a $v-t$ graph gives acceleration. A sharp corner in $v-t$ results in a vertical jump in the $a-t$ graph.

Answer 1

The Correct Option is C

Step 1: Acceleration is the slope of the velocity-time graph ($a = \frac{dv}{dt}$).
Step 2: If AMB consists of two straight line segments (one positive slope, one negative slope), the acceleration will be a positive constant value, then suddenly change to a negative constant value.
Step 3: This sudden transition between two constant values forms a "Step function".