Questions: Identify the true statements. Choose all answers that apply: A Centripetal force causes an object to accelerate by changing the object's direction of motion. B It is possible for an object to move along a curved path without a centripetal force acting on it. C Centripetal force acts perpendicular to an object's velocity. D If an object is moving along a curved path at constant speed, the object is moving with constant velocity.

△Determine if centripetal force causes an object to accelerate by changing its direction of motion.○Analyze the role of centripetal force in motion▷Centripetal force changes the direction of an object's motion, causing acceleration.☼Centripetal force is responsible for the continuous change in direction of an object moving in a circular path. This change in direction constitutes acceleration, as acceleration is defined as the rate of change of velocity, and velocity includes both magnitude and direction. Thus, this statement is true.✧True△Determine if an object can move along a curved path without a centripetal force.○Examine the necessity of centripetal force for curved motion▷Curved motion requires a centripetal force to act on the object.☼For an object to follow a curved path, a force must act perpendicular to its velocity to continuously change its direction. This force is the centripetal force. Without it, the object would move in a straight line due to inertia. Therefore, this statement is false.✧False△Determine if centripetal force acts perpendicular to an object's velocity.○Analyze the direction of centripetal force relative to velocity▷Centripetal force acts perpendicular to the velocity of the object.☼Centripetal force always points toward the center of the circular path, which is perpendicular to the instantaneous velocity of the object. This perpendicular relationship allows the force to change the direction of motion without affecting the speed. Thus, this statement is true.✧True△Determine if an object moving along a curved path at constant speed has constant velocity.○Examine the relationship between speed, velocity, and direction▷Constant speed along a curved path does not imply constant velocity.☼Velocity is a vector quantity that includes both speed and direction. While the speed may remain constant, the direction of motion changes continuously along a curved path. Therefore, the velocity is not constant. This statement is false.✧False ☺

1. A and C