First slide

Relative motion based problems

Question

On a foggy day, two drivers spot each other when 80 m apart. They were travelling at 70 km/h and 60 km/h towards each other on the same road. Both apply brakes simultaneously which retard the cars at the rate of 5 ms^-2. Which of the following statements is correct

Easy

A

The collision will be averted
B

The collision will take place
C

They will just collide
D

Can't be predicted

Solution

stopping distance for 1^st car $= \frac{{(70 \times \frac{5}{18})}^{2}}{2 (5)} = 37 .8$
Stopping distance for 2^nd car $= \frac{{(60 \times \frac{5}{18})}^{2}}{2 (5)} = 27 .7$
$\Rightarrow$ D = d₁ + d₂ = 65.5 < 80 Collision is averted.

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