Friday, April 22, 2016

A particle goes from point A to B in 1.0 seconds moving in a semicircle of radius 1.0. The magnitude of the average velocity is:

No units for the radius of circle are given. Let us assume that the units are centimeters or cm and hence the radius is 1 cm. The velocity of any body is given as the ratio of displacement to time taken. Mathematically,


Velocity = displacement/time


Here, the particle travels in a semicircle of radius 1 cm. The displacement of the particle is the diameter of circle, that is, 2 cm. The time taken for this displacement is 1 cm. Hence the velocity of particle is:


velocity = 2 cm / 1 s = 2 cm/s.


Kindly note that displacement is used for velocity calculations and is the net distance between initial and final position. The actual distance traveled by the particle is the `pixxr` , where r is the radius of circle. This can be used to determine the particle's speed, as the ratio of distance and time.


Average speed = distance/time = `pixx1/1`


= 3.14 cm/s


Hope this helps. 

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