Question

The area enclosed between the acceleration-time sketch and the time axis gives

• A. the displacement of the body
• B. the final speed of the body
• C. change in velocity of the body
• D. change in position of the body

Answer 1

Answer: (C)

change in velocity of the body

The area under acceleration-time sketch and the time axis yields product of acceleration and time.
Now, acceleration = $\frac{changeinvelocity}{time}$
$\therefore$ acceleration $\times$ time = change in velocity.
So, the area indicates change in velocity.