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A bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus?
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A bus accelerates at 2m/s2 for first 10 second after the start and ret...
Problem Statement: A bus accelerates at 2m/s2 for first 10 seconds after the start and retards at 1m/s2 for next 10 seconds. Find the total distance covered by the bus?
Solution:
To solve this problem, we need to use the basic formula of kinematics:
s = ut + 1/2 at^2
where s is the distance covered, u is the initial velocity, a is the acceleration, and t is the time.
Step 1: Calculate the distance covered during acceleration phase:
During the acceleration phase, the bus has an initial velocity of 0 m/s and an acceleration of 2 m/s2. Therefore,
s = 0(10) + 1/2 (2)(10)^2 = 100 m
The bus covers a distance of 100 meters during the acceleration phase.
Step 2: Calculate the distance covered during retardation phase:
During the retardation phase, the bus has an initial velocity of 20 m/s (which is its final velocity at the end of acceleration phase) and a retardation of 1 m/s2. Therefore,
s = 20(10) + 1/2 (-1)(10)^2 = 200 m
The bus covers a distance of 200 meters during the retardation phase.
Step 3: Calculate the total distance covered:
The total distance covered by the bus is the sum of the distance covered during acceleration and retardation phases.
Therefore, Total distance covered = 100 + 200 = 300 m
Hence, the total distance covered by the bus is 300 meters.
Solution:
To solve this problem, we need to use the basic formula of kinematics:
s = ut + 1/2 at^2
where s is the distance covered, u is the initial velocity, a is the acceleration, and t is the time.
Step 1: Calculate the distance covered during acceleration phase:
During the acceleration phase, the bus has an initial velocity of 0 m/s and an acceleration of 2 m/s2. Therefore,
s = 0(10) + 1/2 (2)(10)^2 = 100 m
The bus covers a distance of 100 meters during the acceleration phase.
Step 2: Calculate the distance covered during retardation phase:
During the retardation phase, the bus has an initial velocity of 20 m/s (which is its final velocity at the end of acceleration phase) and a retardation of 1 m/s2. Therefore,
s = 20(10) + 1/2 (-1)(10)^2 = 200 m
The bus covers a distance of 200 meters during the retardation phase.
Step 3: Calculate the total distance covered:
The total distance covered by the bus is the sum of the distance covered during acceleration and retardation phases.
Therefore, Total distance covered = 100 + 200 = 300 m
Hence, the total distance covered by the bus is 300 meters.
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A bus accelerates at 2m/s2 for first 10 second after the start and ret...
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A bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus?
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A bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus? 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 bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus?.
A bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus? 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 bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus accelerates at 2m/s2 for first 10 second after the start and retards at 1m/s2 for next 10vsecond.bFind the total distance covered by the bus?.
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