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A train accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it?
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A train accelerates uniformly from 10m/s to 20m/s in 20s find the dist...
Hi!
acceleration = (final velocity-initial velocity) / time
a = 10/20
a = 1/2 (or) 0.5 m/s^2
s = ut +1/2 at^2
s = 10(20) + 1/2 (1/2) (20)^2
s = 200 + 100
s = 300 m
Community Answer
A train accelerates uniformly from 10m/s to 20m/s in 20s find the dist...
Problem:
A train accelerates uniformly from 10 m/s to 20 m/s in 20 s. Find the distance traveled by the train.
Solution:
Step 1: Understanding the problem
In this problem, we are given the initial velocity, final velocity, and time interval for a train's acceleration. We need to find the distance traveled by the train during this time.
Step 2: Identify the given values
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 20 m/s
- Time interval (t) = 20 s
Step 3: Find the acceleration
To find the distance traveled, we first need to find the acceleration of the train. We can use the equation:
a = (v - u) / t
Substituting the given values:
a = (20 - 10) / 20 = 10 / 20 = 0.5 m/s²
Step 4: Calculate the distance
To find the distance traveled by the train, we can use the equation:
s = ut + (1/2)at²
Substituting the given values:
s = (10 * 20) + (1/2) * (0.5) * (20)²
s = 200 + 0.5 * 0.5 * 400
s = 200 + 0.5 * 200
s = 200 + 100
s = 300 meters
Therefore, the distance traveled by the train during the given time interval is 300 meters.
Conclusion:
The train has traveled a distance of 300 meters during the 20-second time interval, accelerating uniformly from 10 m/s to 20 m/s.
A train accelerates uniformly from 10 m/s to 20 m/s in 20 s. Find the distance traveled by the train.
Solution:
Step 1: Understanding the problem
In this problem, we are given the initial velocity, final velocity, and time interval for a train's acceleration. We need to find the distance traveled by the train during this time.
Step 2: Identify the given values
- Initial velocity (u) = 10 m/s
- Final velocity (v) = 20 m/s
- Time interval (t) = 20 s
Step 3: Find the acceleration
To find the distance traveled, we first need to find the acceleration of the train. We can use the equation:
a = (v - u) / t
Substituting the given values:
a = (20 - 10) / 20 = 10 / 20 = 0.5 m/s²
Step 4: Calculate the distance
To find the distance traveled by the train, we can use the equation:
s = ut + (1/2)at²
Substituting the given values:
s = (10 * 20) + (1/2) * (0.5) * (20)²
s = 200 + 0.5 * 0.5 * 400
s = 200 + 0.5 * 200
s = 200 + 100
s = 300 meters
Therefore, the distance traveled by the train during the given time interval is 300 meters.
Conclusion:
The train has traveled a distance of 300 meters during the 20-second time interval, accelerating uniformly from 10 m/s to 20 m/s.
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A train accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it?
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A train accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it? 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 accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it?.
A train accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it? 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 accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train accelerates uniformly from 10m/s to 20m/s in 20s find the distance travelled by it?.
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