Concept:In uniform circular motion, the speed is constant, meaning there is no tangential acceleration. The only acceleration present is centripetal.
Solution:- The linear velocity vector \( \vec{v} \) is always tangent to the circular path.
- The centripetal acceleration vector \( \vec{a}_c \) always points directly toward the center of the circle.
- A tangent line is always geometrically perfectly perpendicular (\( 90^\circ \)) to the radius at the point of contact.
- Therefore, velocity and acceleration are perpendicular.
Why other options are incorrect:- Option A describes an object slowing down in a straight line.
- Option B describes an object speeding up in a straight line.
- Option D is impossible because the direction of velocity is constantly changing, which requires acceleration.
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