In rectilinear motion the time derivative of the speed equals the magnitude of t

Question

In rectilinear motion the time derivative of the speed equals the magnitude of the acceleration, i.e., d|b|/dt=|a|. The force which causes the uniform circular motion is directed from the center of the circle to the point where the particle is (instantaneously! Located. When the position of a particle is known as a function of time we may use Newton's second law to determine the force which causes this motion In rectilinear motion, the direction of the acceleration it is always in the same direction as the velocity V Suppose you were to integrate three differential equations of the second degree flow many constants of integration will occur? Is the magnitude of the force 1^1 directly or inversely proportional to the radius |r| of the circular path in a uniform circular motion? Directly Inversely The question has no sense so long as it is not specified whether the angular velocity Omega or the speed |v| is to be regarded as constant in the motion.

Explanation / Answer

7)true, In rectilinear motion change of magnitude of velocity is acceleration.

8)false,the force, which causes rotation, is along the centre.

9)true, we can use newton's law in any inertial frame.

10)true, in rectilinear motion , velocity change happens in the direction of velocity.

11)6, the solution of differential equation includes two constant. for 3 equations, we will get 6 constants.

12) c, if w is constant , then force is proportional to r.if v is constant , then force is inversely proportional to r.

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