Answer to Question #323870 in Classical Mechanics for sdsd

Question

Under which of the following conditions is the magnitude of the average velocity of a particle moving in one dimension smaller than the average speed over some time interval? (a) A particle moves in the % x direction without reversing. (b) A particle moves in the # x direction without reversing. (c) A particle moves in the % x direction and then reverses the direction of its motion. (d) There are no conditions for which this is true.

Answer 1

Answer

 : A particle moves in the +x direction and then reverses the direction of its motion.

average speed = distance traveled / time taken

average velocity = total displacement / time taken

for av. velocity to be less than the av. speed

=> displacement must be less than the total distance traveled

=> car has to reverse back from its initial direction of motion