First slide

The 3 equation for uniform acc

Question

A car moving with a speed of 50 kmh^-1 can be stopped by brakes after atleast 6m. If the same car is moving at a speed of 100 kmh^-1, the minimum stopping distance is:

Moderate

A

12m
B

18m
C

24m
D

6m

Solution

Stopping distance, $S = \frac{u^{2}}{2 a}$
$\begin{array}{ll} \Rightarrow \frac{S_{2}}{S_{1}} = {(\frac{u_{2}}{u_{1}})}^{2} \Rightarrow \frac{S_{2}}{6} = {(\frac{100}{50})}^{2} = 4 \\ \Rightarrow S_{2} = 24 m \end{array}$

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