true false The speed of a particle is always positive.
True False The average speed of a particle is equal to the magnitude of its average velocity.
True False The acceleration of a particle can be non-zero when its speed is constant.
True False When the average velocity of a particle is zero, its average speed is also equal to zero.
True False The velocity of an object can reverse direction when its acceleration is constant.
True False When the acceleration of a particle is zero, its average speed is equal to the magnitude of its average velocity.
True False The speed of a particle with a positive acceleration is always increasing.
True. The speed of a particle is always positive because it represents the magnitude of the velocity, which is a vector quantity. The speed only considers the magnitude and does not take into account the direction of the velocity.
False. The average speed of a particle is NOT equal to the magnitude of its average velocity. The average speed is calculated by dividing the total distance traveled by the total time taken, while the average velocity is calculated by dividing the total displacement by the total time taken. Displacement takes into account the direction of motion.
True. The acceleration of a particle can be non-zero even when its speed is constant. Acceleration is the rate of change of velocity, which includes both magnitude and direction. If the direction of the velocity changes, even though the speed remains constant, the particle will have a non-zero acceleration.
False. When the average velocity of a particle is zero, its average speed can still be non-zero. Average velocity takes into account the direction of motion and can cancel out if the particle moves an equal distance in opposite directions. However, average speed only considers the total distance traveled, which will still be non-zero.
True. The velocity of an object can reverse direction when its acceleration is constant. An object can accelerate in the negative direction, causing its velocity to decrease and eventually reverse direction. This is known as deceleration.
False. When the acceleration of a particle is zero, its average speed is NOT necessarily equal to the magnitude of its average velocity. If the particle changes its direction during its motion, the average speed will be different from the magnitude of the average velocity because the displacement vector will not cancel out completely.
False. The speed of a particle with a positive acceleration is NOT always increasing. The acceleration only tells us that the velocity is changing, not necessarily increasing. The speed could be increasing or decreasing depending on the direction of the acceleration and the initial velocity.