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Velocity and acceleration are perpendicular to each other when the magnitude of the acceleration is equal to the centripetal acceleration required for circular motion, and the direction of the acceleration is towards the center of the circular path while the velocity is tangent to the path. This occurs in uniform circular motion.
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Is there any point along the path of projectile where velocity and acceleration vectors are perpendicular to each other?
Yes, at the highest point of the projectile's path, the velocity and acceleration vectors are perpendicular to each other. This is because at the peak of its trajectory, the velocity is momentarily zero and only the acceleration due to gravity is acting on the projectile.
Is it possible that the velocity of an object be in a direction other than the direction of accalaration?
Yes, it is possible for an object's velocity to be in a direction other than the direction of acceleration. For example, in circular motion, the object's velocity is always tangent to the circle, while the acceleration is directed towards the center of the circle. This results in the velocity and acceleration being perpendicular to each other.
Can velocity and acceleration point in opposite direction?
Yes, velocity and acceleration can point in opposite directions. This occurs when an object is moving in one direction while experiencing a deceleration, causing its acceleration to be in the opposite direction of its velocity.
What happens when your velocity and net force are perpendicular to each other?
When velocity and net force are perpendicular to each other, the force does not affect the speed of the object, but instead changes the direction of the velocity. The object will move in a curved path due to the force causing it to accelerate in a direction perpendicular to its velocity. This is described by the principle of circular motion.
Do velocity and acceleration of an object have to be in the same direction?
No, velocity and acceleration of an object do not have to be in the same direction. The velocity indicates the speed and direction of motion of an object, while acceleration is the rate at which an object's velocity is changing. They can be in the same direction, opposite directions, or perpendicular to each other.
Let v and a represent the velocity and accelerationrespestivelyof an automobileDescribe circumstances in whichv and a are parallelv and a are antiparallelv and a are perpendicular to one another?
When they are parallel, the automobile has a positive acceleration (it is speeding up). When they are antiparallel (I assume you mean at 180 degrees to each other but in the opposite direction), the automobile has a negative acceleration (it is slowing down). When they are perpendicular they have no effect on each other, therefore the car has a constant velocity.
Is there any point along the path of projectile where velocity and acceleration vectors are perpendicular to each other?
Yes, at the highest point of the projectile's path, the velocity and acceleration vectors are perpendicular to each other. This is because at the peak of its trajectory, the velocity is momentarily zero and only the acceleration due to gravity is acting on the projectile.
Explain the circumstances when the acceleration and the velocity of car are parallel?
when velocity of a car is increasing then velocity and acceleration are parallel to each other.
Is it possible that the velocity of an object be in a direction other than the direction of accalaration?
Yes, it is possible for an object's velocity to be in a direction other than the direction of acceleration. For example, in circular motion, the object's velocity is always tangent to the circle, while the acceleration is directed towards the center of the circle. This results in the velocity and acceleration being perpendicular to each other.
How are acceleration and velocity alike and different from each other?
-- both are related to measurements of motion of objects -- acceleration is the rate at which velocity changes
Can velocity and acceleration point in opposite direction?
Yes, velocity and acceleration can point in opposite directions. This occurs when an object is moving in one direction while experiencing a deceleration, causing its acceleration to be in the opposite direction of its velocity.
What happens when your velocity and net force are perpendicular to each other?
When velocity and net force are perpendicular to each other, the force does not affect the speed of the object, but instead changes the direction of the velocity. The object will move in a curved path due to the force causing it to accelerate in a direction perpendicular to its velocity. This is described by the principle of circular motion.
Do velocity and acceleration of an object have to be in the same direction?
No, velocity and acceleration of an object do not have to be in the same direction. The velocity indicates the speed and direction of motion of an object, while acceleration is the rate at which an object's velocity is changing. They can be in the same direction, opposite directions, or perpendicular to each other.
Is there any point along the path of projectile where velocity and acceleration vectors are parallel to each other?
Yes, at the highest point of the projectile's trajectory, the velocity and acceleration vectors are parallel to each other. This is because the velocity is momentarily zero, and the acceleration due to gravity is acting vertically downward, pointing in the same direction as the velocity.
Explain the circumstances in which the velocity and acceleration of the body is parallel?
The velocity and acceleration of a body are parallel when the body is moving along a straight path with a constant speed. In this case, the velocity is constant, and since acceleration is the rate of change of velocity, it is zero. Therefore, both the velocity and acceleration vectors are parallel and pointing in the same direction.
When is velocity antiparallel to acceleration?
Velocity is antiparallel to acceleration when an object is moving in the opposite direction of the acceleration. This means that the object is slowing down due to the acceleration acting in the opposite direction to the object's motion.
What are displacement velocity and acceleration and what are their relationships to each other in terms of motion?
Displacement is the change in position of an object, velocity is the rate at which an object changes its position, and acceleration is the rate at which an object's velocity changes. In terms of motion, acceleration is related to velocity by the derivative of velocity with respect to time, and velocity is related to displacement by the derivative of displacement with respect to time.
