This question revolves around the idea of vector quantities. Vector quantities involve two factors: magnitude and direction. Velocity (as well as average velocity) is a vector quantity. The given value of 100m is a magnitude of a distance which is a scalar quantity. Average velocity can be represented as below (all V's represent velocity, not speed).
Vavg = ½ (Vi + Vf ). Let us say that an object was traveling at an initial velocity of 15m/s [East] for a certain amount of time. Afterward, the object suddenly travels at a final velocity of 15m/s [West] for a certain amount of time. In total, the object may have traveled 100m. Because the direction of the two velocities are opposite, the magnitude of the two values are opposite of one another. In other words,
Vavg = ½ (0m/s) = 0.
Therefore, it is important to always think about the direction an object is travellng when a vector quantity is involved.
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.
Yes, it is possible for the average velocity of an object to be zero during a given interval even if its average velocity for the first half of the interval is not zero. This can occur when the object moves in opposite directions such that the distances traveled cancel out over the entire interval. For example, if an object moves 3 meters to the right and then 3 meters to the left in equal times, its average velocity for the entire interval would be zero.
The average velocity of a unicycle going around semicircles would be zero if it starts and ends at the same point, since the displacement is zero. If it starts and ends at different points, the average velocity would depend on the total distance traveled and the time taken to complete the semicircles.
The average velocity of a unicycle going around in circles is zero when considering the total displacement over one complete revolution, as the starting and ending positions are the same. However, during the motion, the instantaneous velocity is not zero and is directed tangentially to the circle at any point. The unicycle's average speed, which is the total distance traveled divided by the time taken, would be a positive value. Thus, while the average velocity is zero, the unicycle is still in motion with a non-zero average speed.
Average speed is the distance traveled divided by the time traveled. Average velocity is the displacement divided by the time traveled. Displacement is change in position, or final position (df) minus initial position (di). Let's say you traveled from your home to the mall and then back again. The total distance traveled was 30 miles, and the total time driven was 1 hour. Average speed = distance traveled/time traveled = 30 miles/1 hour = 30mi/hr or 30mph. Average velocity = (df - di)/time traveled = 0 mile/1 hour = 0 mi/hr or 0mph.* *In this case the final position and the initial position are the same (your house), so the displacement is zero. Something to think about: When a Nascar driver races 500 miles around an oval track, his average speed might be 160mph, but his average velocity when he finishes the race is 0mph.
An example of average velocity of zero is when an object moves in a full circle and returns to its starting point within a given time interval. Since the displacement is zero (starting and ending at the same point), the average velocity is also zero.
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.
The average velocity of a particle when it returns to the starting point is zero. This is because velocity is a vector quantity that includes both magnitude and direction, and returning to the starting point means the displacement is zero, resulting in an average velocity of zero.
Yes, it is possible to have zero displacement and a non-zero average velocity. This can occur if an object moves back and forth over a certain distance so that the total displacement is zero, but the average velocity is non-zero due to the object covering distance in both directions.
The average velocity becomes zero when an object returns to its initial position after moving in a straight line. This happens when the displacement is zero over a period of time.
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.
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.