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Are the magnitudes of average velocity a...

Are the magnitudes of average velocity and average speed equal?

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To determine whether the magnitudes of average velocity and average speed are equal, we can analyze the definitions of both terms and their relationship in the context of one-dimensional (1D) motion. ### Step-by-Step Solution: 1. **Define Average Speed**: Average speed is defined as the total distance traveled divided by the total time taken. Mathematically, it can be expressed as: \[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} ...
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Explain with example the distinction between the magnitude of average velocity and average speed over the same period. Show that and the average speed is either greater than or equal to the average velocity. When is the equality sign true?

The magnitude of average velocity is equal to the average speed when a particle moves:-

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.

Which of the following statements is incorrect? (i) Average velocity is path length divided by time interval. (ii) In general, speed is greater than the magnitude of the velocity. (iii) A particle moving in a given direction with a non-zero velocity can have zero speed. (iv) The magnitude of average velocity is the average speed.

Assertion : Magnitude of average velocity is equal to average speed, if velocity is constant. Reson : If velocity is constant, then there is no change in the direction of motion.

Statement-2: It is possible when the direction of motion keeps changing. Statement-1: Magnitude of average velocity is equal to average speed, if velocity is constant.

Can a body have a. Zero instantaneous velocity and yet be accelerating? b. Zero average speed but non-zero average velocity? c. Negative acceleration and yet be speeding up? d. Magnitude of average velocity be equal to average speed ?

For a body moving along a circular path the average velocity and average speed can never be equal

The ratio of the numerical values of the average velocity and average speed of a body is always.

What is the significance of average velocity or average speed?

CENGAGE PHYSICS-DESCRIPTION OF MOTION-MANDATORY EXERCISE (EXERCISE SET - I)
  1. A stone is thrown vertically upwards and after ascending a height 'h' ...

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  2. Can a body have a constant velocity but a varying speed?

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  3. Are the magnitudes of average velocity and average speed equal?

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  4. Under what condition is the average velocity equal to instantaneous ve...

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  5. Light takes 8 1//2 min to travel from the Sun to the Earth. The veloci...

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  6. A train travels a distance of 8 km in 4 min. Determine its average spe...

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  7. A point moves quarter of a circle on the circumference of a circle of ...

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  8. A train travels with a speed of 60 km h^(-1) from station A to station...

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  9. Two bodies of masses m1 and m2 (m1 = 2m2) are dropped from a height. T...

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  10. The velocity of a body starting from rest is directly proportional to ...

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  11. If a stone and a pencil are dropped simultaneously in vacuum from the ...

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  12. In which condition the magnitude of average speed is equal to the magn...

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  13. If a particle is moving with a constant velocity, what is its accelera...

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  14. Write down the three equations of motion for a particle moving with co...

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  15. Derive an expression to find out the maximum height reached by a parti...

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  16. What does the slope of displacement-time graph give?

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  17. Is it possible for a particle to have varying velocity but constant sp...

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  18. What do you mean by uniform circular motion?

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  19. Give the expression to find out the displacement of a particle in nth ...

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  20. What do you mean by time of flight?

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