The area under the velocity-time graph for a particle moving in a straight line with uniform acceleration gives
[amp_mcq option1=”its average velocity” option2=”its net displacement” option3=”the distance travelled by it” option4=”its average speed” correct=”option2″]
This question was previously asked in
UPSC CDS-1 – 2023
For a particle moving in a straight line, the area under the velocity-time graph represents the displacement of the particle during the given time interval. If the velocity is plotted on the y-axis and time on the x-axis, the area under the curve between two time points gives the change in position (displacement) over that period. This is valid even if the velocity is non-uniform or changes direction.
The area under the velocity-time graph represents the net displacement.