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What is the average velocity when a person traveling on a straight line moves with a uniform velocity v1 for x distance and v2 for next equal distance?
Let t1 and t2 be the times for the two stages.
Then t1 = x/v1
and t2 = x/v2
Total distance = x + x = 2x
Total time = t1 + t2 = x/v1 + x/v2 = x*(1/v1 + 1/v2)
Average velocity = total distance / total time
= 2x divided by x/(1/v1 + 1/v2)
= 2(1/v1 + 1/v2) which is the Harmonic mean of v1 and v2.
What else can I help you with?
What is average velocity?
Average 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.
What measures the rate of change in velocity?
Police measur speed with a radar gun. It uses the Doppler effect to find speed. You can measure distance traveled and use a stopwatch to measure speed yourself. You asked about velocity, however. Velocity is the combination of speed and direction. To measure velocity, you have to track the direction of travel. For that, either a compass, a chart or some other measure.
Calculate distance from a velocity time graph?
The area between the graph and the x-axis is the distance moved. If the velocity is constant the v vs t graph is a straight horizontal line. The shape of the area under the graph is a rectangle. For constant velocity, distance = V * time. Time is the x-axis and velocity is the y-axis. If the object is accelerating, the velocity is increasing at a constant rate. The graph is a line whose slope equals the acceleration. The shape of the graph is a triangle. The area under the graph is ½ * base * height. The base is time, and the height is the velocity. If the initial velocity is 0, the average velocity is final velocity ÷ 2. Distance = average velocity * time. Distance = (final velocity ÷ 2) * time, time is on the x-axis, and velocity is on the y-axis. (final velocity ÷ 2) * time = ½ time * final velocity ...½ base * height = ½ time * final velocity Area under graph = distance moved Most velocity graphs are horizontal lines or sloping lines.
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.
Which describes the average velocity of an ant traveling at a constant speed in a straight line on the the kitchen counter?
The slope of the ant's displacement vs. time graph The total displacement divided by the time.
Which describes the average velocity of an ant traveling at constant speed in a straight line on the kitchen counter?
The slope of the ant's displacement vs. time graph The total displacement divided by the time.
Which describes the average velocity of an ant traveling at a constant speed in a straight line on the kitchen counter?
The slope of the ant's displacement vs. time graph The total displacement divided by the time.
What is the average speed of the car traveling 300km in 6hrs?
Velocity (or speed) = Distance ÷ Time In this example, speed = 300/6 = 50 kph
Is distance the magnitude for average velocity?
No. Average speed is.
Is Distance the magnitude of average velocity?
No, distance and average velocity are not the same. Distance is the total amount covered by an object irrespective of direction, while average velocity is the displacement of an object divided by the time taken, taking direction into account.
Can average velocity and average speed be same?
Yes, average velocity and average speed can be the same if an object moves in a straight line without changing direction. Average velocity takes into account both the speed of the object and its direction of motion, while average speed is the total distance traveled divided by the total time taken.
When is the average velocity is equal to the instantaneous velocity?
Average velocity equals the average speed if (and only if) the motion is in the same direction. If not, the average speed, being the average of the absolute value of the velocity, will be larger.
What is average velocity?
Average 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.
What condition average speed is equal to average velocity?
1. magnitude of distance covered is equal to the magnitude of displacement. 2. the motion of the object is in a straight line i.e. in a particular direction.
Is distance is a magnitude of average velocity?
No, distance is not a magnitude of average velocity. Distance is a scalar quantity that measures the total path length traveled without regard to direction, while average velocity is a vector quantity that measures the displacement over a specific time period.
Total distance divided by total time?
total velocity * * * * * It is the average speed, not velocity which is a vector.
