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The position of a body moving along x axis at time t is given by x=t^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is?
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The position of a body moving along x axis at time t is given by x=t^2...
Distance at t = 0, x = t^2 - 4t +6 = 0 + 0+ 6 = 6m
Distance at t= 3sec., x = t^2 - 4t + 6 = 3^2 - 4×2 + 6
x = 9 - 8 + 6
x = 7 m
distance travelled in time interval t = 0 to t = 3 is 1m(7m- 6m)
Distance at t= 3sec., x = t^2 - 4t + 6 = 3^2 - 4×2 + 6
x = 9 - 8 + 6
x = 7 m
distance travelled in time interval t = 0 to t = 3 is 1m(7m- 6m)
Community Answer
The position of a body moving along x axis at time t is given by x=t^2...
Understanding the Position Function
The position of a body moving along the x-axis is given by the equation:
x(t) = t^2 - 4t + 6
To find the distance traveled by the body in the time interval from t = 0 to t = 3 seconds, we need to evaluate the position at these time points and check for any changes in direction.
Calculating Position at Specific Times
- At t = 0:
x(0) = 0^2 - 4(0) + 6 = 6 m
- At t = 3:
x(3) = 3^2 - 4(3) + 6 = 9 - 12 + 6 = 3 m
Finding the Distance Traveled
To find the total distance traveled, we need to examine the positions at the time intervals. The body moves from 6 m to 3 m.
- Initial Position: 6 m
- Final Position: 3 m
Change in Position
- The body moves from 6 m to 3 m, so the distance traveled is calculated as:
Distance = Final Position - Initial Position
Distance = 3 m - 6 m = -3 m
Since distance cannot be negative, we take the absolute value:
- Total Distance Traveled: 3 m
Conclusion
In the time interval from t = 0 to t = 3 seconds, the body travels a total distance of 3 meters along the x-axis.
The position of a body moving along the x-axis is given by the equation:
x(t) = t^2 - 4t + 6
To find the distance traveled by the body in the time interval from t = 0 to t = 3 seconds, we need to evaluate the position at these time points and check for any changes in direction.
Calculating Position at Specific Times
- At t = 0:
x(0) = 0^2 - 4(0) + 6 = 6 m
- At t = 3:
x(3) = 3^2 - 4(3) + 6 = 9 - 12 + 6 = 3 m
Finding the Distance Traveled
To find the total distance traveled, we need to examine the positions at the time intervals. The body moves from 6 m to 3 m.
- Initial Position: 6 m
- Final Position: 3 m
Change in Position
- The body moves from 6 m to 3 m, so the distance traveled is calculated as:
Distance = Final Position - Initial Position
Distance = 3 m - 6 m = -3 m
Since distance cannot be negative, we take the absolute value:
- Total Distance Traveled: 3 m
Conclusion
In the time interval from t = 0 to t = 3 seconds, the body travels a total distance of 3 meters along the x-axis.
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The position of a body moving along x axis at time t is given by x=t^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is?
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The position of a body moving along x axis at time t is given by x=t^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is? 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^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is? 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^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is?.
The position of a body moving along x axis at time t is given by x=t^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is? 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^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is? 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^2-4t 6m.the distance traveled by body in time interval t=0 to t=3s is?.
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