When a particle moves in a circle with a uniform speed (a) its veloci

1.	When a particle moves in a circle with a uniform speed (a) its velocity and acceleration are both constant (b) its velocity is constant but the acceleration changes (c) its acceleration is constant but the velocity changes (d) its velocity and acceleration both change.
Answer» (d) its velocity and acceleration both change. Explanation: Velocity and acceleration are both vectors and a vectors is fully defined with its magnitude and direction. Even when one entity changes, the vector changes. In the given case the particle moves in a circle with uniform speed. But movement in a circle makes its direction change every moment. So magnitude of the velocity is constant but its direction changes and hence the velocity changes. The magnitude of acceleration of the particle is given by v²/r and its direction is towards the center ie towards radius, but as the particle moves the connected radius and hence direction of the acceleration changes. So acceleration also changes as the particle moves.

When a particle moves in a circle with a uniform speed (a) its velocity and acceleration are both constant (b) its velocity is constant but the acceleration changes (c) its acceleration is constant but the velocity changes (d) its velocity and acceleration both change.

Answer»

(d) its velocity and acceleration both change.

Explanation:

Velocity and acceleration are both vectors and a vectors is fully defined with its magnitude and direction. Even when one entity changes, the vector changes. In the given case the particle moves in a circle with uniform speed. But movement in a circle makes its direction change every moment. So magnitude of the velocity is constant but its direction changes and hence the velocity changes.

The magnitude of acceleration of the particle is given by v²/r and its direction is towards the center ie towards radius, but as the particle moves the connected radius and hence direction of the acceleration changes. So acceleration also changes as the particle moves.

When a particle moves in a circle with a uniform speed (a) its velocity and acceleration are both constant (b) its velocity is constant but the acceleration changes (c) its acceleration is constant but the velocity changes (d) its velocity and acceleration both change.

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