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2.Motion in Straight Line
medium
A metro train starts from rest and in five seconds achieves $108\, km/h$. After that it moves with constant velocity and comes to rest after travelling $45\, m$ with uniform retardation. If total distance travelled is $395\,m$, then total time of travelling is.......$sec$
A
$12.2$
B
$15.3$
C
$9$
D
$17.2$
Solution

For last part $30^{2}=2 \times \mathrm{a} \times 45$
${\mathrm{a}=10 \mathrm{m} / \mathrm{s}^{2}}$
${\text { time }=\frac{30}{10}=3 \mathrm{sec}}$
For middle part
$t=\frac{275}{30}=9.2 \mathrm{sec}$
time $=17.2$ sec
Standard 11
Physics