the velocity time (v-t) graph of a moving particle is shown in figure the acceleration is maximum for segment
(a) AB
(b) BC
(c) CD
(d) equal for all parts
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Answer:
cd
Step-by-step explanation:
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Answer:
The acceleration is maximum for the segment BC.
Step-by-step explanation:
- A velocity versus time graph shows how velocity varies over time.
- An object's displacement, acceleration, and velocity as well as the direction in which it is going, may all be understood using this sort of graph.
- The area under a velocity-time graph is equal to displacement, and the slope of the line in a velocity vs. time graph is equal to the acceleration.
- Slope is calculated by the ratio of the change in the y-axis to the change in the x-axis
∴ Slope = Change in y-axis/ Change in x-axis ⇒ Slope = Δy/Δx.
When we add the values of the y-axis and x-axis, we get,
∴ Slope = Change in velocity/ Change in time ⇒ Slope = Δv/Δt.
This is the same as the acceleration equation. Thus, acceleration is equal to the slope of a velocity vs. time graph.
- The acceleration is greater when the slope is steeper. Similar to this, the acceleration is lower when the slope is shorter or less steep.
- When the slope is negative, so is the acceleration. Similarly, acceleration is positive when the slope is positive.
- And if the slope is 0, there is no acceleration and the object is either stationary or traveling at a constant pace.
- Since, BC has the greater slope, the acceleration is maximum for BC.
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