An object moves in a circular path with constant speed v. Which of the following statements is true concerning the object?

Its acceleration is constant, but its velocity is changing.
Both its velocity and acceleration is changing.
Its velocity is constant, but its acceleration is changing.
Its velocity and acceleration remain constant.

Question

03-04-2019
Physics

contestada

An object moves in a circular path with constant speed v. Which of the following statements is true concerning the object?

Its acceleration is constant, but its velocity is changing.
Both its velocity and acceleration is changing.
Its velocity is constant, but its acceleration is changing.
Its velocity and acceleration remain constant.

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skyluke89 skyluke89 · Answer 1 · 2019-04-10T07:50:20+02:00

Answer:

Both its velocity and acceleration is changing.

Explanation:

Before answering, we must remind that both velocity and acceleration are vectors, so they both consist of a magnitude and a direction.

We can easily answer the question by looking at the direction of the two vectors only. In a circular motion, in fact:

- The velocity is always tangential to the circular path --> this means that its direction changes at every instant, so velocity is not constant

- The acceleration always points towards the centre of the circular path --> this means that its direction changes at every instand, so acceleration is changing as well