Average Velocity and Average Speed
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PHXI03:MOTION IN A STRAIGHT LINE

362206 Assertion :
The average speed of a body over a given interval of time is equal to magnitude of the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason :
Because in this case distance travelled by a body is equal to the magnitude of displacement of the body.

1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI03:MOTION IN A STRAIGHT LINE

362207 The velocity time graph of a body moving in a straight line is shown in figure.
supporting img
The ratio displacement to distance travelled by the body in time 0 to \(10\,s\) is

1 \(1: 2\)
2 \(1: 4\)
3 \(1: 3\)
4 \(1: 1\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362208 Statement A :
The average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval.
Statement B :
The two are equal only if the distance and displacement are same

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362209 If a particle travels \(n\) equal distances with speeds \({v_1},\;{v_2},....{v_n}\) then the average speed \(v\) of the particle will be given by

1 \(v = \frac{{{v_1} + \;{v_2} + .... + {v_n}}}{n}\)
2 \(v = \frac{{n({v_1} + \;{v_2} + .... + {v_n})}}{{{v_1} + {v_2} + {v_3} + .... + {v_n}}}\)
3 \(v = \sqrt {v_1^2 + v_2^2 + .... + v_n^2} \)
4 \(\frac{1}{v} = \frac{1}{n}\left[ {\frac{1}{{{v_1}}} + \frac{1}{{{v_2}}} + ... + \frac{1}{{{v_n}}}} \right]\)
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PHXI03:MOTION IN A STRAIGHT LINE

362206 Assertion :
The average speed of a body over a given interval of time is equal to magnitude of the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason :
Because in this case distance travelled by a body is equal to the magnitude of displacement of the body.

1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI03:MOTION IN A STRAIGHT LINE

362207 The velocity time graph of a body moving in a straight line is shown in figure.
supporting img
The ratio displacement to distance travelled by the body in time 0 to \(10\,s\) is

1 \(1: 2\)
2 \(1: 4\)
3 \(1: 3\)
4 \(1: 1\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362208 Statement A :
The average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval.
Statement B :
The two are equal only if the distance and displacement are same

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362209 If a particle travels \(n\) equal distances with speeds \({v_1},\;{v_2},....{v_n}\) then the average speed \(v\) of the particle will be given by

1 \(v = \frac{{{v_1} + \;{v_2} + .... + {v_n}}}{n}\)
2 \(v = \frac{{n({v_1} + \;{v_2} + .... + {v_n})}}{{{v_1} + {v_2} + {v_3} + .... + {v_n}}}\)
3 \(v = \sqrt {v_1^2 + v_2^2 + .... + v_n^2} \)
4 \(\frac{1}{v} = \frac{1}{n}\left[ {\frac{1}{{{v_1}}} + \frac{1}{{{v_2}}} + ... + \frac{1}{{{v_n}}}} \right]\)
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PHXI03:MOTION IN A STRAIGHT LINE

362206 Assertion :
The average speed of a body over a given interval of time is equal to magnitude of the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason :
Because in this case distance travelled by a body is equal to the magnitude of displacement of the body.

1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI03:MOTION IN A STRAIGHT LINE

362207 The velocity time graph of a body moving in a straight line is shown in figure.
supporting img
The ratio displacement to distance travelled by the body in time 0 to \(10\,s\) is

1 \(1: 2\)
2 \(1: 4\)
3 \(1: 3\)
4 \(1: 1\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362208 Statement A :
The average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval.
Statement B :
The two are equal only if the distance and displacement are same

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362209 If a particle travels \(n\) equal distances with speeds \({v_1},\;{v_2},....{v_n}\) then the average speed \(v\) of the particle will be given by

1 \(v = \frac{{{v_1} + \;{v_2} + .... + {v_n}}}{n}\)
2 \(v = \frac{{n({v_1} + \;{v_2} + .... + {v_n})}}{{{v_1} + {v_2} + {v_3} + .... + {v_n}}}\)
3 \(v = \sqrt {v_1^2 + v_2^2 + .... + v_n^2} \)
4 \(\frac{1}{v} = \frac{1}{n}\left[ {\frac{1}{{{v_1}}} + \frac{1}{{{v_2}}} + ... + \frac{1}{{{v_n}}}} \right]\)
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PHXI03:MOTION IN A STRAIGHT LINE

362206 Assertion :
The average speed of a body over a given interval of time is equal to magnitude of the average velocity of the body in the same interval of time if a body moves in a straight line in one direction.
Reason :
Because in this case distance travelled by a body is equal to the magnitude of displacement of the body.

1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI03:MOTION IN A STRAIGHT LINE

362207 The velocity time graph of a body moving in a straight line is shown in figure.
supporting img
The ratio displacement to distance travelled by the body in time 0 to \(10\,s\) is

1 \(1: 2\)
2 \(1: 4\)
3 \(1: 3\)
4 \(1: 1\)
JEE - 2023
PHXI03:MOTION IN A STRAIGHT LINE

362208 Statement A :
The average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval.
Statement B :
The two are equal only if the distance and displacement are same

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXI03:MOTION IN A STRAIGHT LINE

362209 If a particle travels \(n\) equal distances with speeds \({v_1},\;{v_2},....{v_n}\) then the average speed \(v\) of the particle will be given by

1 \(v = \frac{{{v_1} + \;{v_2} + .... + {v_n}}}{n}\)
2 \(v = \frac{{n({v_1} + \;{v_2} + .... + {v_n})}}{{{v_1} + {v_2} + {v_3} + .... + {v_n}}}\)
3 \(v = \sqrt {v_1^2 + v_2^2 + .... + v_n^2} \)
4 \(\frac{1}{v} = \frac{1}{n}\left[ {\frac{1}{{{v_1}}} + \frac{1}{{{v_2}}} + ... + \frac{1}{{{v_n}}}} \right]\)
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