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A train starting from a railway station and moving with uniform acceleration attains a speed of 40 kmh 1 in 10 minutes. Find its acceleration in the units of ms 2.
Question

# A train starting from a railway station and moving with uniform acceleration attains a speed of $40km{h}^{-1}$ in $10minutes$. Find its acceleration in the units of $m{s}^{-2}$.

Solution

## Step 1: GivenInitial speed, $u=0m{s}^{-2}$Final velocity, $v=40km{h}^{-1}=40×\frac{5}{18}=\frac{100}{9}m{s}^{-1}$Time, $t=10minutes=600seconds$Step 2: Formula used and calculationUsing the first equation of motion$v=u+at\phantom{\rule{0ex}{0ex}}⇒\frac{100}{9}m{s}^{-1}=0+600s×a\phantom{\rule{0ex}{0ex}}⇒a=\frac{100}{9×600}m{s}^{-2}\phantom{\rule{0ex}{0ex}}⇒a=0.0185m{s}^{-2}$Hence, the acceleration of the train is $0.0185m{s}^{-2}$.PhysicsStandard VII

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