A train starting from a railway station and moving with uniform acceleration attains a speed 40, km

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7. MOTION

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A train starting from a railway station and moving with uniform acceleration attains a speed $40\, km \,h^{-1}$ in $10$ minutes. Find its acceleration(in $m / s ^{2}$).

A

$0.185$

B

$185$

C

$0.0185$

D

$0.00185$

Solution

Initial velocity of the train, $u=0$

Final velocity of the $v=40\, km / h$ $=40 \times \frac{5}{18}=11.11 \,m / s$

Time taken, $t=10 \,min =10 \times 60=600 \,s$

Acceleration, $a=\frac{v-u}{t}=\frac{11.11-0}{600}=0.0185\, m / s ^{2}$

Hence, the acceleration of the train is $0.0185 \,m / s ^{2}$.

Standard 9

Science

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