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

Question

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.

Answer 1

The velocity of a train

$$v=v_0+at\\ =0\:\rm m/s+1\: m/s^2\times 30\: s=30\: m/s$$

The distance travelled by a train

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