Question

A train accelerates uniformly from 10 m/s to 20 m/s in 20 s. Calculate the distance
travelled by train.​

Answer 1

Answer:

The distance travelled by the train is 300 m

Explanation:

Given :

A train accelerates uniformly from 10 m/s to 20 m/s in 20 s.

To find :

the distance  travelled by train.​

Solution :

initial velocity, u = 10 m/s

final velocity, v = 20 m/s

time taken, t = 20 s

The acceleration is the rate of change in velocity.

  $\dag \boxed{\bf a=\dfrac{v-u}{t}}$

Substitute the values,

a = (20 - 10)/20

a = 10/20

a = 0.5 m/s²

∴ The acceleration of the train is 0.5 m/s²

Use the second equation of motion,

 $\dag \boxed{\bf S=ut+\dfrac{1}{2}at^2}$

Substitute the values,

 S = 10(20) + 1/2 (0.5)(20)²

 S = 200 + (400/4)

 S = 200 + 100

 S = 300 m

∴ The distance travelled by the train is 300 m