Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is Acceleration is constant.
Concept:
- The rate of change of velocity of a body is called the acceleration of that body.
- It is a vector quantity that has both magnitudes as well as direction.
\(acceleration\left( a \right) = \frac{{Change\;in\;velocity}}{{time\;taken}} = \frac{{{v_2} - {v_1}}}{{{t_2} - {t_1}}}or\frac{{dv}}{{dt}}\)
- The slope (m) of the displacement-time graph at any point will give the instantaneous velocity at that point.
- The slope of any graph at a point is given by: Slope (m) = tanθ
- Where θ is the angle made by the point with the x-axis.
Explanation:
- The given graph shows acceleration vs time graph
- In our case, the slope of the given graph is zero since the angle (θ) in our case is zero
- i.e., \(\tan \theta = \frac{{da}}{{dt}} \Rightarrow \frac{{da}}{{dt}} = 0\)
- From this we can see that rate of change of acceleration is zero hence the acceleration throughout the motion must remain constant.
- Hence option 2 is correct
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