Two trucks A and B are approaching each other on a straight path with… | JEE Main 2022 (30 Jul, Shift 2)

Q20JEE Main 2022 · 30 JUL · SHIFT 2Easy

Equations of Kinematics

Two trucks A and B are approaching each other on a straight path with the velocities of $16\text{ m/s}$ and $20\text{ m/s}$ respectively. When they are $200\text{ m}$ apart their drivers see each other and applies the breaks simultaneously. If the truck A decelerates with $2\text{ m/s}^2$ and truck B decelerates with $4\text{ m/s}^2$ , what is the distance between them when they finally stop?

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Answer: (c)

Stopping distance $s = \frac{u^2}{2a}$ for each truck.
Truck A: $s_A = \frac{16^2}{2 \times 2} = 64\text{ m}$ ; truck B: $s_B = \frac{20^2}{2 \times 4} = 50\text{ m}$ .
Gap left $= 200 - (64 + 50) = 86\text{ m}$ .
So the answer is (c) $86\text{ m}$ .

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