As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is:
Question
As shown in the figure, a particle is moving with constant speed π m/s. Considering its motion from A to B, the magnitude of the average velocity is:
Solution
To find the magnitude of the average velocity, we need to calculate the displacement of the particle from point A to point B and divide it by the time taken.
-
Determine the displacement: The displacement is the straight-line distance between point A and point B. Measure this distance using the scale provided in the figure.
-
Calculate the time taken: The time taken is not given in the question. If it is provided, use that value. Otherwise, you can assume a time interval, such as 1 second, for simplicity.
-
Divide the displacement by the time taken: Divide the displacement (in meters) by the time taken (in seconds) to find the average velocity.
-
Take the magnitude: Since the question asks for the magnitude of the average velocity, ignore the direction and consider only the numerical value. The magnitude is always positive.
-
Substitute the given constant speed: In the question, it is mentioned that the particle is moving with a constant speed of π m/s. Substitute this value into the average velocity equation.
-
Calculate the magnitude: Perform the necessary calculations to find the magnitude of the average velocity.
Remember to include the appropriate units in your final answer.
Similar Questions
In one second a particle goes from point A to a point B moving in a semicircle. What is the magnitude of average velocity? (in m/s)
A particle moving along the straight line travels first 3m distance with speed 2 m/s, second 3m distance with speed 3 m/s and the third 3m distance with speed 6 m/s. The average speed of the particle is :-
A particle is moving along a straight line. It covers distance S with a velocity V. Then it covers a distance 2S with a velocity 3V in the same direction. Then magnitude of average velocity of the particle is
A particle moving in a straight line covers half the distance with speed of 3 m/s. The another half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s, respectively. The average speed of the particle during this motion is
When is the average velocity magnitude equal to the average speed?Only when a particle is moving with uniform velocity in a straight line.Whenever a particle is travelling in a straight line and not a curve.Only when a particle travels in a straight line without reversing its motion.Only when a particle travels in a straight line without stopping.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.