An airplane increases its speed from \(36 km / h\) to \(360 km / h\) in \(20.0 s\). How far does it travel while accclerating?
A. \(4.4 km\) B. \(1.1 km\) C. \(2.3 km\) D. \(1.0 km\)
Correct Answer: B
Explanation
\begin{aligned} u &=36 km / hr =\frac{36 \times 1000}{3600}=10 m / s \\ v &=360 km / hr =\frac{360000}{3600}=100 m / s \\ s=?, a=\frac{v-u}{t} \\ s &=u t+1 / 2 a t^{2} \\ a &=\frac{v-u}{t}=\frac{100-10}{20} \\ &=\frac{90}{20}=4.5 m / s ^{2} \\ s &=10 \times 20+1 / 2 \times 4.5 \times 202 \\ &=200+4.5 \times 200 \\ &=1100 m =1.1 km . \end{aligned}