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Explain average velocity and average spe...

Explain average velocity and average speed.

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When an object is in motion, its position change with time and with what rate of time it will change its position that can be find in two ways.
If we only find time rate then it is speed and if we find time rate with direction then it is velocity
Speed: The distance covered by object in unit time is called speed.
Average speed: The ratio of total distance covered during travelling to total time taken is called average speed.
Its unit is mal and it is a scalar quantity. Hence its value is always positive.
Velocity : The displacement covered in unit time is called velocity
It is a scalar quantity
Average velocity is defined as the change in position or displacement (Axl divided by the time intervals an, in which the displacement occurs:
`therefore bar v = (x _(2) - x _(1))/(t _(2) - t _(1)) = (Delta x)/(Delta t)`
where` x_(1) and x_(2)` are the positions of the object at time `t_(1) and t_(2)` respectively.
The SI unit for velocity is `ms^(-1)` although kmh is used in many everyday applications.
For motion in a straight line, the directional aspect of the vector can be taken care of by .+. and - signs and we do not have to use the vector notation for velocity. Magnitude of average velocity can be positive, negative or zero. Resultant effect of motion can be known from average velocity Average speed can be greater than or equal to the magnitude of average velocity. For uniform motion at every moment, velocity is equal to average velocity Consider the motion of the car, the portion of the x-1 graph between t = 0s and t = 8s is blown up and shown in figure.
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Average velocity …... Average speed.

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km h^(-1). Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km h^(-1). What is the (a) magnitude of average velocity, and (b) average speed of the man over the interval of time (i) 0 to 30 min, (ii) 0 to 50 min, (iii) 0 to 40 min ? [Note: You will appreciate from this exercise why it is better to define average speed as total path length divided by time, and not as magnitude of average velocity. You would not like to tell the tired man on his return home that his average speed was zero !]

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) Average velocity is diplacement divided by time interval. (iv) The magnitude of average velocity is the average speed.

"The magnitude of average velocity is equal to average speed". This statement is not always correct and not always incorrect. Explain with example,

Define : Average speed

"Different types of speed's average is called average speed". Is this true ?

Which among average speed and average velocity can be positive, negative or zero ?