Question

The graph shown in figure shows the velocity $v$ versus time $t$ for a body. Which of the graphs shown in figure represents the corresponding acceleration versus time graph?

• A.
• B.
• C.
• D.

Answer 1

Answer: (B)

The slope of $v-t$ graph is acceleration, as $a=\frac{dv}{dt}$
The $v$ -t graph has a constant negative slope in the first half, it means acceleration is constant and negative in the first half.
In the second half the graph has a constant positive slope in the $v-t$ graph. Hence the acceleration is constant and positive in the second half.