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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?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
The average velocity is the total displacement divided by the total time. Since the person is traveling with a uniform velocity, the total displacement will be the sum of the individual displacements (x) at velocities v1 and v2. Therefore, the average velocity will be the ratio of total displacement to total time taken for the journey.
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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?
Acceleration measures the rate of change in velocity. It is defined as the change in velocity per unit of time. Positive acceleration indicates an increase in velocity, while negative acceleration indicates a decrease in velocity.
Calculate distance from a velocity time graph?
To calculate distance from a velocity-time graph, you would find the area under the curve, as this represents the displacement or distance traveled. If the graph is above the time axis, calculate the area above the time axis, and if it dips below, calculate the area below the time axis. Summing these two areas will give you the total distance traveled.
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 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.
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.
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.
What is the formula to find the average speed of a given distance and time?
Distance = time * average speed (velocity) Average speed = Distance/time
