The gas molecules are in motion but if the total gas volume is stationary (Eg. closed in a container) the average gas velocity is zero.
And since the square of any number is never negative. And not all molecules have zero velocity at a time. Therefore, since not all numbers are zero and no number is negative the the average of numbers should be a positive number and will not be zero.
Because squaring a velocity removes its sign. A velocity may be negative, but it's square is always positive. If two velocities are +5 and -5, their average is zero. But both squares are +25, so the average square is +25.
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.
An object moving in a circular path at constant speed will have a non-zero average speed and zero average velocity since velocity is a vector parameter,
yes
i think no
Because squaring a velocity removes its sign. A velocity may be negative, but it's square is always positive. If two velocities are +5 and -5, their average is zero. But both squares are +25, so the average square is +25.
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.
Wind
An object moving in a circular path at constant speed will have a non-zero average speed and zero average velocity since velocity is a vector parameter,
If the car has an average speed of 65 mph, when it returns to its starting point, it will have a displacement of zero and an average velocity of zero, because velocity has both speed and direction.
No.
The average velocity is pretty close to zero. Velocity is a vector, so its average value is the total displacement divided by the total time. Since the racquet probably starts and finishes in the player's bag in the player's home, the average velocity is zero.
When the velocity is zero at the crossing of the time axis, the displacement must be a full maximum or minimum. Scroll down to related links and look at "Displacement - Velocity- Acceleration".
yes
i think no
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.
Since speed is a scalar quantity, the only way the average speed can be zero is if the instantaneous speed is at all times zero, making it not a moving body, so no on the average speed. The average velocity, on the other hand, can easily be zero. The simplest example is you running in a circle.