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.

Expert's answer

The velocity of a train

"v=v_0+at\\\\\n=0\\:\\rm m\/s+1\\: m\/s^2\\times 30\\: s=30\\: m\/s"The distance travelled by a train

"d=v_0t+\\frac{at^2}{2}\\\\\n=0\\:\\rm m\/s\\times 30\\: m\/s+\\frac{1\\: m\/s^2\\times (30\\: s)^2}{2}=450\\: m"
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