A car is moving along a straight line- It-s displacement x - time t graph is shown- Match the entries in column I with points on graph as in Column-II-Columnp x - negative- v - positive- a - positive q x - positive- v - negative- a - negativer x - negative- v - negative- a - positive s x - positive- v - positive- a - negative- Column IIA- p-dq-br-cs-aB- p-bq-dr-cs-aC- p-cq-ar-ds-bD- p-aq-cr-bs-d

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Acceleration

A car is movi...

Question

A car is moving along a straight line. It's displacement (x) - time (t) graph is shown. Match the entries in column I with points on graph as in Column-II.

Column I

(p) x $\to$ negative,v $\to$ positive,a $\to$ positive (q) x $\to$ positive, v $\to$ negative,a $\to$ negative

(r) x $\to$ negative,v $\to$ negative,a $\to$ positive (s) x $\to$ positive, v $\to$ positive,a $\to$ negative.

Column II

(p - d) (q - b) (r - c) (s - a)

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(p - b) (q - d) (r - c) (s - a)

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(p - a) (q - c) (r - b) (s - d)

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(p - c) (q - a) (r - d) (s - b)

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Solution

The correct option is A
(p - d) (q - b) (r - c) (s - a)

At,A,x is positive,

v is positive as the the slope is positive

a is negative as the slope is decreasing

At,B,x is positive,

v is positive as the the slope is negative

a is negative as the slope is still decrease

At C,x is negative, At D, x is negative

v is negative v is positive

a is positive a is positive

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Similar questions

A car is moving along a straight line. It's displacement (x) - time (t) graph is shown. Match the entries in column I with points on graph as in Column-II.

Column I

(p) x $\to$ negative,v $\to$ positive,a $\to$ positive (q) x $\to$ positive, v $\to$ negative,a $\to$ negative

(r) x $\to$ negative,v $\to$ negative,a $\to$ positive (s) x $\to$ positive, v $\to$ positive,a $\to$ negative.

Column II

All the curves in Column 1 are parabolic and those in Column 2 and Column 3 are straight lines.

‘x’, ‘v’ and ‘a’ denote position, velocity and acceleration of a particle and consider positive in the direction of increasing ‘x’.

In which one of the following options the particle starts with positive velocity and crosses the origin with negative velocity?

	Column I		Column II
a.	exothermic	p.	$H_{P} - H_{R}$
b.	endothermic	q.	$Δ H$ is negative
c.	spontaneous	r.	$Δ H$ is positive
d.	heat of reaction	s.	$Δ G$ is negative

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