Question

14. A train starts from a station and moves with a
constant acceleration for 2 minutes. If it covers a
distance of 400 m in this period, find the
acceleration​

Answer 1

Acceleration of the train = 0.0556 m/s^2

$\mathfrak{\underline{\underline{\red{Given: }}}}$

$\sf \pink{Distance \: covered \: by \: the \: train \: (S)= 400 m.} \\ \sf \pink{Time \: taken \: for \: the \: travel \: (t) = 2 m} \\ \sf \pink{ = 2 \times 60 \: seconds = 120 \: seconds.} \\ \sf \pink{Initial \: velocity = 0 m/s^2}$

$\sf{ :⇒400 = 0 \times 120 + \frac{1}{2} \times a \times 120^2} \\ \sf{ :⇒400 = 0 + a \times \frac{14400}{2}} \\ \sf{ :⇒400 = 7200 \times a} \\ \sf{ :⇒a = \frac{400}{7200}} \\ \sf{ :⇒a = 0.0556} \\ \sf{Acceleration = 0.0556 m/s^2}$