Question

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

Answer 1

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Answer 2

The distance travelled by train​ is 300 m.

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

To Find: The distance travelled by train​.

Solution:

We can solve the numerical by applying the formulas of motion, which are given by;

             v  =  u + at                                                             ....(1)

             v² = u² + 2aS                                                         ....(2)

Where v = final velocity, u = initial velocity, a = acceleration, S = distance.

Coming to the numerical, we are given;

v = 20 m/s, u = 10 m/s, t = 20 s

Firstly we need to find the acceleration by using the formula (1),

             v  =  u + at  

        ⇒ 20 = 10 + a × 20

        ⇒ a = 0.5 m/s²

Now, we need to find the distance travelled using the formula (2),

             v² = u² + 2aS    

         ⇒ 20² = 10² + 2 × 0.5 × S

         ⇒ S = 400 - 100

                = 300 m

Hence, the distance travelled by train​ is 300 m.

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