Question

A particle is going in a spiral path with constant speed.
(a) the velocity of the particle is constant.
(b) the acceleration of the particle is constant.
(c) the magnitude of acceleration is constant.
(d) the magnitude of acceleration is decreasing continuously.

Answer 1

Answer ⇒ Option (c). is correct.

Explanation ⇒ The Path of the Spiral is totally similar to the Circular Motion. Taking its example, Velocity of the Object cannot be constant due to the change in direction as a result acceleration can also be not constant because it is the rate of the change of velocity and it will change due to the change in the direction of  velocity.

Now, Since, the Particle is moving with a constant speed this means that the magnitude of the acceleration will be constant. Hence, Option (c). is correct.

Option (d). cannot be correct because the object is in the Constant speed thus its acceleration cannot increase or decrease but it can only change its direction.

Hope it helps.

Answer 2

the correct answer is option c. as the speed of particle does not change its acceleration should be constant.