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

• A. (p - d) (q - b) (r - c) (s - a)
• B. (p - b) (q - d) (r - c) (s - a)
• C. (p - a) (q - c) (r - b) (s - d)
• D. (p - c) (q - a) (r - d) (s - b)

Answer 1

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