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Define relative velocity. Deduce an expr...

Define relative velocity. Deduce an expression for relative velocity of one object with respect to another in terms of their velocities relative to the earth.

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The vector difference between the absolute velocities of two bodies is called their relative velocity. The concept of relative velocity enables us to treat one body as being at rest while the other is in motion with the relative velocity. This jormalism greatly simplifies many problems. If vecv_(A) is the absolute velocity of a body A and vec_(B) that of another body B then the relative velocity of A in relation to B is vec_(AD)=vecV_(A)-vecv_(B) and vecv_(BA)=vecv_(B) - vecv_(A) . The principle follows here is that the relative velocity of two bodies remains unchaged if the same additional velocity is imparted to both the bodies. A simple way of carrying out this operation is to be represent the velocities in magnitude and direction from a common point. Then the line joining the tips of the vectors represents the relative velocity Q A train A moves to the east with velocity of 40 km/hr and a train B moves due north with velocity of 30 km/hr. The relative velocity of A w.rt. B is

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SL ARORA-MECHANICS-Exercise
  1. Define relative velocity. Deduce an expression for relative velocity o...

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  2. A cyclist moving on a circular track of radius 100 m completes one rev...

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  3. A cyclist moving on a circular track of radius 100 m completes one rev...

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  4. A body travels a distance s(1) with vleocity v(1) and distance s(2) w...

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  5. A car covers the first half of the distance between two places at a sp...

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  6. A train moves with a speed o f30kmh^(-1) in the first 15 minutes,with...

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  7. The body travels a distance s(1) with velcity v(1) and s(2) with vel...

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  8. A car along a starigth line for the first half time with speed 50 kmh^...

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  9. The displacement x of a particle at time t along a straight line is gi...

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  10. The displacement x of a particle is dependent on time t according to t...

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  11. The displacement x of a particle is dependent on time t according to t...

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  12. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

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  13. The distance traversed by a particle moving along a straight lne is gi...

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  14. The distance traversed by a particle moving along a straight line is g...

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  15. The distance traversed by a particle moving along a straight lne is gi...

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  16. A race car accelerates on a straight road from rest to a speed of 180 ...

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  17. A bullet travellling with a velocity of 16 m/s penetrates a tree trunk...

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  18. A car moving along a stainght highway with a speed of 72 kmh^(-1) is b...

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  19. on turning a corner a car driving at 36kmh^(-1) finds a child on the r...

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  20. the reaction time for an automobile drive os 0.6s if the automobile c...

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  21. A car starts from rest and accelerates uniformly for 10 sto a velocity...

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