What are the directions of an object's velocity and acceleration vectors when the object moves in a circular path with a constant speed? a. the question is meaningless, since the acceleration is zero. b. the vectors point in opposite directions. c. both vectors point in the same direction. d. the vectors are perpendicular.

D. The vectors are perpendicular.

Explanation:

In uniform circular motion the direction of velocity of the object at any instant of time is given along the tangent to the path.

It is given as tangential velocity.

Now since we know that the acceleration of the object is always due to the change in velocity of object and here the direction of speed is changing continuously so it is an accelerated motion.

So here the acceleration is not changing the magnitude of velocity which means that the acceleration have no component along the direction of velocity

So the acceleration must be perpendicular to the direction of velocity always

This acceleration is also known as centripetal acceleration

so correct answer will be

D. The vectors are perpendicular.

 α = 5 rad / s²

Explanation:

This is a rotational kinematics exercise.

They indicate the initial velocity wo = 10 rad / s

             w = w₀ + α t

             α =

let's calculate

             α =

             α = 5 rad / s²

The velocity, the angular relation are the same in all the points of the wheel, the velocities and linear accelerations are the ones that change

            a = α r

            v = w r