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3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2?
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3) a person Travels along a straight road for the half time with a vel...
Suppose, the man’s total displacement is S.
And suppose his total time of travel is T.
He travels for time T/2 with velocity v1. The displacement is = v1 x T/2
Next T/2 time he travels at v2. The displacement is = v2 x T/2
So, S = v1 x T/2 + v2 x T/2 = (T/2)(v1 + v2)
Average velocity = S/T = (T/2)(v1 + v2)/T = (v1 + v2)/2
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3) a person Travels along a straight road for the half time with a vel...
Explanation:
To find the mean velocity of the person who travels along a straight road for half the time with velocity V1 and the next half with velocity V2, we can use the formula for mean velocity.
Mean Velocity Formula:
V = (total distance traveled) / (total time taken)
Calculation:
- Let the total distance traveled be D and the total time taken be T.
- The person travels half the distance with velocity V1 and the other half with velocity V2.
- So, the time taken to cover the first half distance = T/2 and the time taken to cover the second half distance = T/2.
- Therefore, the total time taken, T = T/2 + T/2 = T.
- The total distance traveled, D = V1 * (T/2) + V2 * (T/2) = (V1 + V2) * T/2.
Substitute the values in the mean velocity formula:
V = D / T
V = [(V1 + V2) * T/2] / T
V = (V1 + V2) / 2
Therefore, the mean velocity of the person is equal to the average of the two velocities V1 and V2.
To find the mean velocity of the person who travels along a straight road for half the time with velocity V1 and the next half with velocity V2, we can use the formula for mean velocity.
Mean Velocity Formula:
V = (total distance traveled) / (total time taken)
Calculation:
- Let the total distance traveled be D and the total time taken be T.
- The person travels half the distance with velocity V1 and the other half with velocity V2.
- So, the time taken to cover the first half distance = T/2 and the time taken to cover the second half distance = T/2.
- Therefore, the total time taken, T = T/2 + T/2 = T.
- The total distance traveled, D = V1 * (T/2) + V2 * (T/2) = (V1 + V2) * T/2.
Substitute the values in the mean velocity formula:
V = D / T
V = [(V1 + V2) * T/2] / T
V = (V1 + V2) / 2
Therefore, the mean velocity of the person is equal to the average of the two velocities V1 and V2.
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3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2?
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3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2? 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 3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2?.
3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2? 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 3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3) a person Travels along a straight road for the half time with a velocity V1 and the next half time with a velocity V2. the mean velocity V of the man is?Sol) V=V1+V2/2?.
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