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JEE Main 20264 AprilEvening Shift
Exam
JEE Main
Year
2026
Date
4 April
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2026 · 4 April · Evening Shift · Physics · Motion in One Dimension

Two cars A and B are moving in the same direction along a straight...

Two cars AA and BB are moving in the same direction along a straight line with speeds 100100 km/h and 8080 km/h, respectively such that car AA is moving ahead of car BB. A person in car BB throws a stone with a speed vv so that it hits the car AA with a speed of 55 m/s. The value of vv is ______ km/h.

Options

  1. A1818
  2. B2828
  3. C3838
  4. D4848

Correct answer

C. 3838

Step-by-step solution

Velocity of car A, vA=100v_A = 100 km/h

Velocity of car B, vB=80v_B = 80 km/h

Velocity of the stone relative to car B is vv. The velocity of the stone relative to the ground is vS=vB+v=80+vv_S = v_B + v = 80 + v.

The velocity of the stone relative to car A is vS/A=vS−vA=(80+v)−100=v−20v_{S/A} = v_S - v_A = (80 + v) - 100 = v - 20.

The stone hits car A with a relative speed of 55 m/s. Converting this speed to km/h:

vS/A=5×185=18v_{S/A} = 5 \times \dfrac{18}{5} = 18 km/h

Equating the relative speeds:

v−20=18⇒v=38v - 20 = 18 \Rightarrow v = 38 km/h

Answer: 3838
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