Question

1.If a particle moves in a plane so that its position is described by the functions x=A*cos(wT) and y=A*sin(wT), the particle is ( w-angular velocity, T-period)
A) moving with constant speed along a circle
B) moving with a varying speed along a circle

Thanx!

Note that x^2 + y^2, the square of distance from the origin, is A^2
Note also the value of the square of the speed, which is [(dx/dt)^2 + (dy/dt)^2] , is A^2 w^2, which is a constant.

What does that tell you about the motion?

centripetal motion?

The word "centripetal" refers to the force that keeps changung the directkion of motion. The answer to the question is (A).

Answer 1

The particle is moving with constant speed along a circle.