Correct option is C
The correct answer is (c) Tangential to the circular path
Explanation:
• Kinematic uniform circular motion is rigorously defined mathematically as the continuous motion of an object physically traveling steadily along a circular path at a perfectly constant speed.
• Critically, although the absolute speed firmly remains constant, the velocity vector is continuously and rapidly changing because the spatial direction of the moving object's motion alters at every single infinitesimal point.
• At any given, highly specific frozen instant during this motion, the exact precise direction of the velocity vector is strictly along the tangent line drawn to the circular path right at that specific point.
• To prove this, if the invisible central force forcefully keeping the object perfectly in the circle were suddenly and completely removed, inertia would instantly cause the object to simply fly off in a totally straight, tangential line.
• Exclusively due to this mandatory continuous change in direction (and thus overall velocity), uniform circular motion is absolutely always universally considered an actively accelerated motion.
Information Booster:
• The necessary continuous, inward acceleration present in uniform circular motion is always precisely directed toward the exact geometric center of the circle and is scientifically called centripetal acceleration.
• Perfect common real-world examples brilliantly include an artificial metallic satellite steadily orbiting the spherical Earth or a focused athlete running at a perfectly steady pace on a curved circular track.
Additional Knowledge:
Perpendicular to the axis of rotation (Option a)
• While technically physically lying somewhere in the perpendicular plane, specifically "tangential" is the far more precise, accurate kinematic description of the instantaneous velocity vector itself.
Along the radius, away from the center (Option b)
• This outwardly pointing directed line falsely describes the apparent, often misunderstood centrifugal force strangely experienced only in a rotating reference frame, absolutely not the object's actual true velocity.
Along the radius, toward the center (Option d)
• This deeply inward radial direction accurately and explicitly corresponds only to the centripetal force and resulting centripetal acceleration, definitely not the forward-moving velocity.
So the correct answer is (c)