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The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m?
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The position of a body moving along x-axis at time t is given by x = (...
Given:
The position of a body moving along the x-axis at time t is given by x = (t - 4t 6) m.
To find:
The distance traveled by the body in the time interval t = 0 to t = 3s.
Explanation:
To find the distance traveled by the body, we need to calculate the displacement of the body from t = 0 to t = 3s. Displacement is the change in position of an object.
Displacement:
Displacement is given by the formula:
Δx = x(final) - x(initial)
Here, the initial time t = 0s, so we substitute t = 0 in the equation:
x(initial) = (0 - 4(0) + 6) m = 6m
Now, let's find the final position at t = 3s:
x(final) = (3 - 4(3) + 6) m = (3 - 12 + 6) m = -3m
Substituting the values in the displacement formula:
Δx = -3m - 6m = -9m
Distance:
Distance is the total path traveled by an object and it is always positive. So, we take the absolute value of the displacement.
Distance = |Δx| = |-9m| = 9m
Conclusion:
The distance traveled by the body in the time interval t = 0 to t = 3s is 9m.
Answer:
The correct option is (4) 3m.
The position of a body moving along the x-axis at time t is given by x = (t - 4t 6) m.
To find:
The distance traveled by the body in the time interval t = 0 to t = 3s.
Explanation:
To find the distance traveled by the body, we need to calculate the displacement of the body from t = 0 to t = 3s. Displacement is the change in position of an object.
Displacement:
Displacement is given by the formula:
Δx = x(final) - x(initial)
Here, the initial time t = 0s, so we substitute t = 0 in the equation:
x(initial) = (0 - 4(0) + 6) m = 6m
Now, let's find the final position at t = 3s:
x(final) = (3 - 4(3) + 6) m = (3 - 12 + 6) m = -3m
Substituting the values in the displacement formula:
Δx = -3m - 6m = -9m
Distance:
Distance is the total path traveled by an object and it is always positive. So, we take the absolute value of the displacement.
Distance = |Δx| = |-9m| = 9m
Conclusion:
The distance traveled by the body in the time interval t = 0 to t = 3s is 9m.
Answer:
The correct option is (4) 3m.
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The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m?
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The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m?.
The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position of a body moving along x-axis at time t is given by x = (t - 4t 6) m. The distance travelled by body in time interval t = 0 to t = 3 s is (1) 5 m (2) 7 m (3) 4 m (4) 3 m?.
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