1. Tardigrade
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  4. Two cars A and B are moving in same direction with velocities 30 m / s and 20 m / s. When car A is at a distance d behind the car B, the driver of the car A applies brakes producing uniform retardation of 2 m / s 2. There will be no collision when

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Q. Two cars $A$ and $B$ are moving in same direction with velocities $30\, m / s$ and $20\, m / s$. When car $A$ is at a distance $d$ behind the car $B$, the driver of the car $A$ applies brakes producing uniform retardation of $2\, m / s ^{2}$. There will be no collision when

Motion in a Straight Line

Solution:

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$v^{2}=u^{2}+2 a d$
$\Rightarrow 0=(10)^{2}-2 \times 2 \times d_{ rel }$
$\Rightarrow \frac{100}{4} \leq d_{ rel }$
$\Rightarrow d_{ rel } \geq 25\, m$