Question

A particle moves along an arc of circle of radius r its velocity depends on the distance covered as v=as^1/2 then the angle between the vector of total acceleration and vector of velocity as a function of s will

Answer 1

An object is said to be moving in uniform circular motion when it maintains a constant speed while traveling in a circle.

Since acceleration is a vector quantity comprised of both magnitude and direction, objects can accelerate in any of these three ways:

1. constant direction, changing speed (linear acceleration); 
 2. constant speed, changing direction (centripetal acceleration); 
 3. change in both speed and direction (angular acceleration).

An object undergoing uniform circular motion is moving with a constant speed. Nonetheless, it is accelerating due to its change in direction (centripetal acceleration). The direction of the acceleration is inwards towards the center of the circle and its magnitude is given by: a = (velocity)^2/ r

Answer 2

Answer:

$\tan\alpha = \frac{2s}{r}$

Explanation:

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