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A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as
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A body starts from rest and is uniformly accelerated for 30 s. The dis...
Explanation of x1:x2:x3 ratio when a body starts from rest and is uniformly accelerated for 30 s
- Uniform acceleration: When a body starts from rest and is uniformly accelerated for 30 seconds, it means that the acceleration of the body remains constant for the entire duration of 30 seconds.
- Formula: The formula for distance travelled by an object with uniform acceleration is given by s = ut + 1/2at^2, where s is the distance travelled, u is the initial velocity, a is the acceleration, and t is the time taken.
- x1: The distance travelled in the first 10 seconds can be calculated using the above formula by substituting u=0, a=constant acceleration and t=10 seconds.
- x2: The distance travelled in the next 10 seconds can be calculated using the same formula by substituting u=0, a=constant acceleration and t=10 seconds, but since the body already has a velocity after the first 10 seconds, we need to add the distance travelled during the first 10 seconds to get the total distance travelled in the first 20 seconds.
- x3: The distance travelled in the last 10 seconds can be calculated using the same formula by substituting u=initial velocity after 20 seconds, a=constant acceleration and t=10 seconds, but since the body already has a velocity after the first 20 seconds, we need to add the distance travelled during the first 20 seconds to get the total distance travelled in the first 30 seconds.
- Ratio: The ratio x1:x2:x3 can be simplified using the formula for s mentioned earlier. We get:
- x1 : x2 : x3 = (1/2)a(10)^2 : (1/2)a(10)^2 + 10ua : (1/2)a(10)^2 + 10ua + u(10)^2
- On simplifying this ratio, we get:
- x1 : x2 : x3 = 1 : 3 : 5
- Therefore, the ratio of distances travelled in the first 10 seconds, second 10 seconds and last 10 seconds is 1:3:5 respectively.
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A body starts from rest and is uniformly accelerated for 30 s. The dis...
Is the answer is 1:2:3..
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A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as
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A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as.
A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as.
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