Answer to Question #128854 in Mechanics | Relativity for Ariyo Emmanuel

Question #128854
A train starts from rest at a station and travels with a constant acceleration of 1m/s2. Determine the velocity of the train when t = 30s and the distance travelled during this time.
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Expert's answer
2020-08-25T11:14:33-0400

The velocity of a train

v=v0+at=0m/s+1m/s2×30s=30m/sv=v_0+at\\ =0\:\rm m/s+1\: m/s^2\times 30\: s=30\: m/s

The distance travelled by a train

d=v0t+at22=0m/s×30m/s+1m/s2×(30s)22=450md=v_0t+\frac{at^2}{2}\\ =0\:\rm m/s\times 30\: m/s+\frac{1\: m/s^2\times (30\: s)^2}{2}=450\: m

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