The velocity-time plot for a particle moving on a straight line is shown in the figure.
Figure
(a) The particle has a constant acceleration.
(b) The particle has never turned around.
(c) The particle has zero displacement.
(d) The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20 s.
Answers
The particle has a constant acceleration because the slope of the curve is constant.The particle turns around at t=10t=10 seconds.The particle has non zero displacement because the area above x-axis is not equal to area below the x-axis.Average speed between the interval 0 to 10s is equal to the interval 10 to 20s because of the symmetry. slope is same also the magnitude of area under the curve is same
The velocity-time plot for a particle moving on a straight line is shown in the figure.
The right answer is :
Option (a) The particle has a constant acceleration.
Option (d) The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20 s.
Explanation:
The velocity time plot for a particle moving on a straight line is shown in the figure.
From the figure :
(a) The particle is constantly accelerated :
It' true : The particle is constantly accelerated (a) because the curve slope is constant.
(b) The particle has never turned around :
It's false : At t = 10 t = 10 sec, the particle turns around.
(c) The particle has zero displacement :
It's false : The particle has no 0 displacement due to the fact that the area above the x-axis is not equal to the area below the x-axis.
Displacement ≠ Zero
(d) The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 second to 20 second :
It's true :The average speed between the 0 to 10 second interval is equal to the 10 s to 20 second interval. The slope is the same as the field below the curve.
Hence, option (a) and (d) is the right answer.
