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JEE Main 202529 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2025 · 29 January · Evening Shift · Physics · Motion in One Dimension

Two cars P and Q are moving on a road in the same direction....

Two cars PP and QQ are moving on a road in the same direction. Acceleration of car PP increases linearly with time whereas car QQ moves with a constant acceleration. Both cars cross each other at time t=0t=0, for the first time. The maximum possible number of crossing(s) (including the crossing at t=0)t=0) is ________.Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereasTwo cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas

Correct answer

0

Step-by-step solution

ap=kt,k\mathrm{a}_{\mathrm{p}}=\mathrm{kt}, \mathrm{k} is constant aQ=a,a\mathrm{a}_{\mathrm{Q}}=\mathrm{a}, \mathrm{a} is constant aQP=aQ−ap=a−kt\mathrm{a}_{\mathrm{QP}}=\mathrm{a}_{\mathrm{Q}}-\mathrm{a}_{\mathrm{p}}=\mathrm{a}-\mathrm{kt} as initial velocities are not mentioned in question, so will have to assume two cases. Case-I uOP\mathrm{u}_{\mathrm{OP}} and aQP\mathrm{a}_{\mathrm{QP}} in same direction Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas
Total number of crossing =2=2 Case-II uQP\mathrm{u}_{\mathrm{QP}} and aQP\mathrm{a}_{\mathrm{QP}} in opposite directionTwo cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas
Total number of crossing =3=3
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