Question

Which of the following statements is true for velocity ($v$) - time ($t$) graph?

• A. The curve can be a circle.
• B. The area under the curve and above the time axis between any two instants gives the average acceleration.
• C. The slope at any instant gives the rate of change of acceleration at that instant.
• D. The area under the curve along the time axis gives the displacement.

Answer 1

Answer: (D)

The area under the curve along the time axis gives the displacement.

$\underset{–}{facts:}$
$\to$ Slope of v-t curve gives acceleration (not the rate of change of acceleration)
$\to$ Area under v-t curve gives displacement.
The curve cannot be a circle since there cannot be 2 velocities at a single point.