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The average velocity of a particle is eq...

The average velocity of a particle is equal to its instantaneous velocity. What is the shape of the displacement time graph?

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To solve the question regarding the shape of the displacement-time graph when the average velocity of a particle is equal to its instantaneous velocity, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Average and Instantaneous Velocity**: - Average velocity is defined as the total displacement divided by the total time taken. - Instantaneous velocity is the velocity of the particle at a specific moment in time. ...
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Statement I: The average velocity of the body may be equal to its instantaneous velocity. Statement II: For a given time interval of a given motion, average veocity is single valued while average speed can have many values.

Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

How is average velocity different from instantaneous velocity ?

Explain the terms , velocity and instantaneous velocity. When are they equal?

The velocity - time graph of a particle is as shown in figure

The instantaneous velocity of a particle is equal to time derivative of its position vector and the instantaneous acceleration is equal to time derivatives of its velocity vector. Therefore :

Assertion: Average speed of a particle in a given time interval is never less than the magnitude of the average velocity. Reason: The magnitude of the velocity (instantaneous velocity) of a particle is equal to its speed.

When a particle moves with constant velocity its average velocity, its instantaneous velocity and its speed all are equal. Is this statement true or false ?

Assertion: In successive time intervals if the average velocities of a particle are equal then the particle must be moving with constant velocity. Reason: When a particle moves with uniform velocity, its displacement always increases with time.

Assertion: When a particle moves with constant velocity its average velocity, its insttantaneous velocity and its speed are all equal in magnitude. Reason: If the average velocity of a particle moving on a straight line is zero in a time interval, then it is possible that the instantaneous velocity is never zero in the internal.

ICSE-DYNAMICS-VERY SHORT ANSWER QUESTIONS
  1. Speed of a body is never negative. Why?

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  2. 'The average velocity of a particle over an interval of time is either...

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  3. The average velocity of a particle is equal to its instantaneous veloc...

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  4. Explain how can a body be simultaneously at rest and in motion?

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  5. If an iron ball and a wooden ball of the same radius are relesed from ...

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  6. Can an object accelerate if is speed is constant?

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  7. Two balls of different masses (one lighter and other heaver) are throw...

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  8. At what point of the trajectory of a projectile, the speed is Maximu...

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  9. At what point of the trajectory of a projectile, the speed is Minimu...

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  10. Keeping the angle of projection constant, the velocity of projection i...

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  11. What should be the angle of projection in order that the mazimum heigh...

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  12. With what velocity should a projectile be fired in order that the mazi...

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  13. Name a few physical quantities which change during the motion of a pro...

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  14. A ball of mass m is thrown vertically upwards. Another ball fo mass 2 ...

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  15. Is it possible tha the direction of the velocity vector change and th...

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  16. What is the angle between the directions of velocity and acceleration...

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  17. What is the angle of projection for a projectile thrown parallel to th...

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  18. 'A man can jump on moon six times as high as on earth.'' Why ?

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  19. In long jump, does the range of jump depend on how high an athlete jum...

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  20. Velocity of a projectile is 10 ms^(-1). At what angle to the horizonta...

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