Question

A train starting from a railway station and moving with uniform acceleration attains a speed 40 km h–1 in 10 minutes. Find its acceleration.​

Answer 1

A train starting from a railway station and moving with uniform acceleration attains a speed 40 km/hr in 10 minutes.

We have to find the acceleration of the train.

From above data we have; initial velocity of train is 0 km/hr, final velocity is 40 km/hr and time is 10 min.

Firstly convert km/hr into m/s and min into sec.

1 km/hr = 5/18

1 min = 60 sec

So, final velocity is 11.11 m/s, initial velocity is 0 m/s and time is 600 sec.

Using the First Equation Of Motion:

v = u + at

Substitute the known values,

→ 11.11 = 0 + a(600)

→ 11.11 = 600a

Divide by 600 on both sides,

→ 11.11/600 = 600a/600

→ 0.0185 = a

Therefore, the acceleration of the train is 0.0185 m/s².