An object moves in a circular path at a constant speed. What is the relationship between the directions of the object's...
The velocity and acceleration vectors point in opposite directions.
The velocity and acceleration vectors are perpendicular.
The velocity vector points in a direction tangent to the circular path. The acceleration is zero.
The velocity vector points toward the center of the circular path. The acceleration is zero.
The velocity and acceleration vectors point in the same direction.
Homework Answers
The concept required to solve this problem is circular motion.
Initially, find the direction of the velocity at different positions of the circular motion. Then, find the direction of the acceleration of the object moving in the circular motion. Finally, find the relationship between the direction of the velocity and the acceleration.
An object moving along the circumference of a circle in a circular path is known as the circular motion.
When and object moves in circular motion with constant speed then, the direction of the speed at different positions change and this will lead to the velocity vector.
The object will have acceleration due to due to the constant change in the direction of the velocity vector.
The direction of the velocity is in the same direction in which the object is moving. Since, the object is moving in the circle with a constant speed. So, the velocity vector will be directed along the tangent to the circle.
The object moving in a circular motion with constant speed is accelerating due to the change in the direction of velocity vector. The direction of the acceleration is pointed towards the center of the circle for the object moving in circular path. This acceleration is known as the centripetal acceleration.
The velocity and acceleration vectors cannot be pointed in the opposite directions because the velocity is tangent to the circle making with the direction of the centripetal acceleration which is pointed towards the center of the circle.
The centripetal acceleration depends on the velocity and the radius of the circular path. Since, the velocity vector is non-zero so, the acceleration cannot be zero.
The velocity and acceleration vectors cannot be pointed in the same direction as both are perpendicular to each other.
The velocity vector will be directed along the tangent to the circle and the centripetal acceleration is directed towards the center of the circle so, the velocity and acceleration vectors are perpendicular to each other.
Ans:The velocity and the acceleration vectors are perpendicular.
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