Two cars A & B travel in a straight line from same point. T…

Physics Motion in a Straight Line Mix Single Correct MCQ

Published on: September 13, 2026

Two cars A & B travel in a straight line from same point. The distance of A from the starting point is given by xA = α t + β t2 where α = 2.6 m/s and β = 1.2 m/s2. The distance B from the starting point is xB = γ t2 – δ t3; where γ = 2.8 m/s2 and δ = 0.2 m/s3.

(i) Which car is ahead just after they leave the starting point?

A 2.7 sec 1.66 sec

B 2.27 sec & 5.73 sec 4.33 sec

Both are with same velocity 5.73 sec & 2.6 sec 1.66 sec & 1 sec

Cannot be determined (ii) At what times are the car at same point? 0, 2.27 sec & 5.73 sec (iii) At what times is the distance from A to B neither increasing nor decreasing ? 1 sec & 4.3 sec

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The correct answer is:

Ans.

(i)

Sol. A

(ii)

Sol. 0, 2.27 sec & 5.73 sec

(iii)

Sol. 1 sec & 4.3 sec

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