A truck is moving at a speed of 72 kmh-1 on a straight road. The driver can produce deceleration of 2 ms-2 by applying brakes. The stopping distance of truck is 13x m, if the reaction time of the driver is 0.2 s. The value of x is_________

# A truck is moving at a speed of 72 kmh-1 on a straight road. The driver can produce deceleration of 2 ms-2 by applying brakes. The stopping distance of truck is 13x m, if the reaction time of the driver is 0.2 s. The value of x is_________

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### Solution:

$\begin{array}{l}\because {v}^{2}={u}^{2}+2as\\ ⇒{0}^{2}={\left(72×\frac{5}{18}\right)}^{2}-2×2{s}_{0}\\ \therefore {s}_{0}=\frac{400}{4}=100\mathrm{m}\end{array}$

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