An object moves in a circular path at a constant speed. What is the relationship between the directions of the object's velocity and acceleration vectors? (a)-The velocity and acceleration vectors point in opposite directions. (b)-The velocity and acceleration vectors are perpendicular. (c)-The velocity vector points in a direction tangent to the circular path. The acceleration is zero.
(d)-The velocity vector points toward the center of the circular path. The acceleration is zero. (e)-The velocity and acceleration vectors point in the same direction.

When an object is in circular motion, the direction of velocity is in the direction of tangent to the circle and acceleration is always directed towards the radial direction. This means that velocity is always perpendicular to acceleration of the object.

Hence option (b)-The velocity and acceleration vectors are perpendicular is correct.

Answer Link

ap8997154 ap8997154 · Answer 2 · 2022-02-14T11:27:26+01:00

To solve the problem we must know about the concept of acceleration.

What is acceleration?

Acceleration is defined as the rate of change of velocity with respect to time. It is given by the formula,

[tex]a=\dfrac{v-u}{t}[/tex]

The relationship between the directions of the object's velocity and acceleration vectors is perpendicular.

When an object is in a circular motion the velocity of the object is always perpendicular to circulation, therefore, the velocity will be tangent to the circle. While the acceleration is always to the center of the circle, which is because of the centripetal force which causes the object to be in a circular motion.

As the acceleration is towards the center it is the radius of the circle, while the velocity is the tangent of the circle.

Hence, the relationship between the directions of the object's velocity and acceleration vectors are perpendicular.

Learn more about Acceleration:

https://brainly.com/question/2437624