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Acceleration from Velocity-Time Graphs

When the slop...

Question

When the slope of v–t graph is negative and constant, what is the nature of acceleration?

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Solution

Nature of acceleration is negative, it means constant retardation

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Q. When the slope of a v–t graph is negative and constant, Nature of acceleration is Uniformly retarding.

When the slope of v–t graph is negative and constant, what is the nature of acceleration?

Q. Velocity of a particle is in negative direction with constant acceleration in positive direction. Then, match the following columns.

Column-I	Column-II
(a)	Velocity-time graph	(p)	Slope $\to$ negative
(b)	Acceleration-time graph	(q)	Slope $\to$ positive
(c)	Displacement-time graph	(r)	Slope $\to$ zero
		(s)	$\| S l o p e \| \to$ increasing
		(t)	$\| S l o p e \| \to$ decreasing
		(u)	$\| S l o p e \| \to$ constant

Q. Assertion: In the

s - t

graph shown in the figure, the velocity of the particle is negative and acceleration is positive.

Reason: The slope of

s - t

graph is negative and increasing in magnitude.

Q. What is the nature of graph drawn between mass and acceleration for a constant force? Does the graph pass through origin?

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