Question

If this particle were traveling twice as fast, the radius of its circular arc would be

a 2R.
b R?.2
c R/?2
d R/2.

Answer 1

If the particle were traveling twice as fast, the radius of its circular arc would be R/2.

Step-by-step explanation:

A point moves along an arc of a circle of radius R. Its velocity depends on the distance covered s as v=a√s, where a is a constant. The angle α between the vector of the total acceleration and the vector of velocity as a function of s is given as tanα=xsR .The question is asking about the relationship between the radius of a circular arc and the speed of a particle traveling in that arc. If the particle were traveling twice as fast, the radius of its circular arc would be R/2.