Question

Calculate the acceleration and the distance covered when train initially travelling at a speed of 10m/s, increases its speed to 25m/s in 20s

Answer 1

The acceleration of the train

$$a=\frac{v_f-v_i}{t}=\frac{25-10}{20}=0.75\:\rm m/s^2$$

The distance traveled by train

$$d=\frac{v_i+v_f}{2}t=\frac{10+25}{2}\times 20=350\:\rm m$$