A particle is moving on a straight line path with constant acceleration directed along the direction of instantaneous velocity. Which of the following statements are false about the motion of particle?AParticle may reverse the direction of motionBDistance covered is not equal to magnitude of displacementCThe magnitude of average velocity is less than average speedDAll of the above
Question
A particle is moving on a straight line path with constant acceleration directed along the direction of instantaneous velocity. Which of the following statements are false about the motion of particle?AParticle may reverse the direction of motionBDistance covered is not equal to magnitude of displacementCThe magnitude of average velocity is less than average speedDAll of the above
Solution
The statement A is false. If a particle is moving with constant acceleration in the direction of instantaneous velocity, it means the particle is always speeding up and never slowing down. Therefore, it cannot reverse its direction of motion.
The statement B is true. Distance covered is the total length of the path travelled by the particle, while displacement is the shortest distance from the initial to the final position of the particle. If the particle moves in a straight line without changing direction, then the distance covered is equal to the magnitude of displacement.
The statement C is false. If the particle is moving in a straight line with constant acceleration, the magnitude of average velocity is equal to the average speed.
Therefore, the statement D is also false because not all of the above statements are false. Only statements A and C are false.
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