Class 9 Exam  >  Class 9 Questions  >  A train starts from rest and accelerates unif... Start Learning for Free
A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train?
Most Upvoted Answer
A train starts from rest and accelerates uniformly for 30 seconds to a...
Solution:

Given:

Initial velocity, u = 0 (train starts from rest)

Time taken to accelerate, t1 = 30 seconds

Final velocity, v = 108 km/h

Time taken to travel with this velocity, t2 = 20 minutes = 1200 seconds

Time taken to decelerate, t3 = 20 seconds

We need to find the total distance covered by the train.

Calculating acceleration:

The formula to calculate acceleration is:

a = (v - u) / t

where,

a = acceleration

v = final velocity

u = initial velocity

t = time taken

Substituting the given values, we get:

a = (108 * 1000 / 3600 - 0) / 30

a = 4 m/s²

Calculating distance covered during acceleration:

The formula to calculate distance covered during acceleration is:

s = ut + 1/2at²

where,

s = distance

u = initial velocity

t = time taken

a = acceleration

Substituting the given values, we get:

s1 = 0 * 30 + 1/2 * 4 * 30²

s1 = 1800 m

Calculating distance covered during constant velocity:

The formula to calculate distance covered during constant velocity is:

s = vt

where,

s = distance

v = velocity

t = time taken

Substituting the given values, we get:

s2 = 108 * 1000 / 3600 * 1200

s2 = 36000 m

Calculating deceleration:

The deceleration will be the same as acceleration, as the train is slowing down uniformly. Therefore, a = 4 m/s².

Calculating distance covered during deceleration:

The formula to calculate distance covered during deceleration is:

s = vt - 1/2at²

where,

s = distance

v = initial velocity

t = time taken

a = acceleration

Substituting the given values, we get:

s3 = 108 * 1000 / 3600 * 20 - 1/2 * 4 * 20²

s3 = 300 m

Calculating total distance:

The total distance covered by the train is the sum of the distances covered during acceleration, constant velocity, and deceleration.

Total distance = s1 + s2 + s3

Total distance = 1800 + 36000 + 300

Total distance = 54300 m

Therefore, the total distance covered by the train is 54300 m.
Community Answer
A train starts from rest and accelerates uniformly for 30 seconds to a...
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train?
Question Description
A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train?.
Solutions for A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? defined & explained in the simplest way possible. Besides giving the explanation of A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train?, a detailed solution for A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? has been provided alongside types of A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? theory, EduRev gives you an ample number of questions to practice A train starts from rest and accelerates uniformly for 30 seconds to acquire a velocity of 108 km/h. It travels with this velocity for 20 minutes. The driver now applies brakes and the train slows down uniformly to stop after 20 seconds. Find the total distance covered by the train? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev