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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t= (root x)+3 where x is in metres and t is in seconds. what is the displacement of the particle from time = t= 0s to t=6s 1. 0 2. 12m 3. 6m 4. 18m the answer is given as option 1 pls explain?
Most Upvoted Answer
The displacement x of a particle moving in one dimension under the act...
Given:
The equation relating displacement x and time t is t = (√x)^3

To find:
The displacement of the particle from t = 0s to t = 6s

Solution:
To find the displacement of the particle, we need to solve for x in terms of t.

Taking the cube root on both sides of the equation, we get:
∛t = √x

Squaring both sides of the equation, we get:
(∛t)^2 = x

Simplifying the equation, we get:
x = t^(2/3)

Now, we can calculate the displacement of the particle from t = 0s to t = 6s by substituting the values of t.

At t = 0s, the displacement x is given by:
x = (0)^(2/3) = 0

At t = 6s, the displacement x is given by:
x = (6)^(2/3) ≈ 5.18m

Therefore, the displacement of the particle from t = 0s to t = 6s is approximately 5.18m.

Answer:
The correct option is 1. 0m.
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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t= (root x)+3 where x is in metres and t is in seconds. what is the displacement of the particle from time = t= 0s to t=6s 1. 0 2. 12m 3. 6m 4. 18m the answer is given as option 1 pls explain?
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The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t= (root x)+3 where x is in metres and t is in seconds. what is the displacement of the particle from time = t= 0s to t=6s 1. 0 2. 12m 3. 6m 4. 18m the answer is given as option 1 pls explain? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t= (root x)+3 where x is in metres and t is in seconds. what is the displacement of the particle from time = t= 0s to t=6s 1. 0 2. 12m 3. 6m 4. 18m the answer is given as option 1 pls explain? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation t= (root x)+3 where x is in metres and t is in seconds. what is the displacement of the particle from time = t= 0s to t=6s 1. 0 2. 12m 3. 6m 4. 18m the answer is given as option 1 pls explain?.
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