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EzraAverage velocity is defined as the change in position of an object divided by the time taken to undergo that change. It gives a measure of how fast an object is moving in a particular direction over a given time interval. Mathematically, it is represented as: average velocity = (final position - initial position) / time.
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Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?
No, average velocity is the total displacement divided by the total time taken. The slope of the tangent to the curve on a velocity-time graph at a specific instant of time gives the instantaneous velocity at that moment, not the average velocity.
Can a body have nonzero average speed but have zero average velocity give example?
Yes, a body can have a nonzero average speed but zero average velocity if it moves around a closed path and returns to its starting point. For example, if a car travels around a circular track at a constant speed, its average speed will be nonzero (as distance is covered), but its average velocity over the entire trip will be zero as the displacement is zero.
Can the average velocity of a particle be zero but not its average speed?
Yes, since velocity is speed and direction its average can be zero. For example say a plane flies from point A to point B at 300 mph and turns around to go from B to A at 300 mph; its average velocity is 0 since it is in the same spot as it started ( the velocity vectors cancel) but its average speed is 300 mph.
Would a radio controlled car produce an average velocity of zero?
No, a radio controlled car would not have an average velocity of zero if it moves in a straight line. Average velocity is the total displacement divided by the total time, so as long as the car moves, it will have a non-zero average velocity.
Why average velocity of molecules of a gas is zero but the square of average velocity is not zero?
It depends on the sign of velocities. For example, if there are two velocities 7 and -7 m/s then the average velocity of the molecules will be 0. But, the square will be 49. The general thing here is that even if a velocity is negative, the square of EVERY velocity irrespective of the sign is positive i.e., squaring always removes the negative sign.
