Question

A train moving with acceleration of 4 m/s^2 from rest for 10 seconds find the displacement covered by the train

Answer 1

Answer :

Given that a train moving with acceleration of 4 m/s² from rest for 10 seconds.

We have to find displacement covered by the train.

From the data we have :

Initial speed (u) = 0 m/s [As it starts from rest]

Acceleration (a) = 4 m/s²

Time (t) = 10 s

We know 2nd equation of motion :

→ s = ut + ½ at²

Where,

• s : Displacement
• u : Initial speed
• a : Acceleration
• t : Time

Substituting values,

→ s = 0 × 10 + ½ × 4 × 10²

→ s = 0 + 2 × 100

→ s = 0 + 200

→ s = 200 m

Displacement covered by train = 200 m ✓

Answer 2

Given :

• Acceleration (a) = 4 m/s²
• Initial velocity (u) = 0 m/s
• Time interval (t) = 10 seconds

To Find :

• Displacement covered by train

Solution :

We're given that a train starts from rest, and it then start moving with the acceleration of 4 m/s² in 10 seconds. We've to calculate displacement travelled by the train.

For this we'll use 2nd equation of motion :

⇒S = ut + ½at²

Where,

• S is displacement
• u is initial velocity
• a is acceleration
• t is time interval

⇒S = 0*10 + ½*4*(10)²

⇒S = 0 + ½*4*100

⇒S = 400/2

⇒S = 200

$\therefore$ Displacement of train is 200 m