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A train starting from rest reaches a speed of 40 km/h in 10 minutes. What is its final speed in m/s?
4┬аm/s
400┬аm/s
6.67┬аm/s
11.11┬аm/s
11.11┬аm/s
To convert km/h to m/s, simply multiply by 5/18. Since 40├Ч5=200 and 200/18тЙИ11.11, the answer is quickly found.
Final speed v = 40 km/h, Time t = 10 minutes.
vm/sтАЛ=vkm/hтАЛ├Ч185тАЛ
To convert km/h to m/s, simply multiply by 5/18. Since 40├Ч5=200 and 200/18тЙИ11.11, the answer is quickly found.
Students often waste time calculating acceleration using the given time (10 minutes) when the question simply asks for the final speed conversion, which is independent of the time taken.
Identify required conversion
The final speed is given in km/h, but the required unit is m/s. We use the conversion factor derived from 1┬аkm=1000┬аm and 1┬аhr=3600┬аs.
1┬аkm/h=3600┬аs1000┬аmтАЛ=185тАЛ┬аm/s
Apply conversion factor
Multiply the given speed 40┬аkm/h by the factor 5/18 to get the speed in m/s.
v=40├Ч185тАЛ=18200тАЛ
Calculate final result
Perform the division: 200/18=11.111...
vтЙИ11.11┬аm/s
D is correct because 40┬аkm/h multiplied by the conversion factor 5/18 results in approximately 11.11┬аm/s.
Remember that 18┬аkm/h=5┬аm/s, so 36┬аkm/h=10┬аm/s. This allows you to estimate answers quickly without full calculation.
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